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Finding the Third Proportional to 402,500,352 and 601,344,234

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Solution

The third proportional to 402,500,352 and 601,344,234 is: 898,421,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,500,352 : 601,344,234 = 601,344,234 : x
  2. Step 2: Convert to fraction form
    402,500,352/601,344,234 = 601,344,234/x
  3. Step 3: Cross multiply
    402,500,352x = 601,344,234 × 601,344,234
  4. Step 4: Simplify right side
    402,500,352x = 361,614,887,765,046,784
  5. Step 5: Solve for x
    x = 361,614,887,765,046,784/402,500,352
  6. Step 6: Final answer
    x = 898,421,295.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.