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Finding the Third Proportional to 242,736 and 528,078

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Solution

The third proportional to 242,736 and 528,078 is: 1,148,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,736 : 528,078 = 528,078 : x
  2. Step 2: Convert to fraction form
    242,736/528,078 = 528,078/x
  3. Step 3: Cross multiply
    242,736x = 528,078 × 528,078
  4. Step 4: Simplify right side
    242,736x = 278,866,374,084
  5. Step 5: Solve for x
    x = 278,866,374,084/242,736
  6. Step 6: Final answer
    x = 1,148,846.38

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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.