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Finding the Third Proportional to 242,279,464.50 and 528,408,962.44

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Solution

The third proportional to 242,279,464.50 and 528,408,962.44 is: 1,152,454,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,279,464.50 : 528,408,962.44 = 528,408,962.44 : x
  2. Step 2: Convert to fraction form
    242,279,464.50/528,408,962.44 = 528,408,962.44/x
  3. Step 3: Cross multiply
    242,279,464.50x = 528,408,962.44 × 528,408,962.44
  4. Step 4: Simplify right side
    242,279,464.50x = 279,216,031,584,275,296
  5. Step 5: Solve for x
    x = 279,216,031,584,275,296/242,279,464.50
  6. Step 6: Final answer
    x = 1,152,454,386.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.