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Finding the Third Proportional to 258,451,674 and 553,232,698.50

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Solution

The third proportional to 258,451,674 and 553,232,698.50 is: 1,184,230,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,451,674 : 553,232,698.50 = 553,232,698.50 : x
  2. Step 2: Convert to fraction form
    258,451,674/553,232,698.50 = 553,232,698.50/x
  3. Step 3: Cross multiply
    258,451,674x = 553,232,698.50 × 553,232,698.50
  4. Step 4: Simplify right side
    258,451,674x = 306,066,418,689,591,872
  5. Step 5: Solve for x
    x = 306,066,418,689,591,872/258,451,674
  6. Step 6: Final answer
    x = 1,184,230,745.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.