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Finding the Third Proportional to 369,500,818.50 and 516,583,919.25

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Solution

The third proportional to 369,500,818.50 and 516,583,919.25 is: 722,214,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,500,818.50 : 516,583,919.25 = 516,583,919.25 : x
  2. Step 2: Convert to fraction form
    369,500,818.50/516,583,919.25 = 516,583,919.25/x
  3. Step 3: Cross multiply
    369,500,818.50x = 516,583,919.25 × 516,583,919.25
  4. Step 4: Simplify right side
    369,500,818.50x = 266,858,945,627,690,528
  5. Step 5: Solve for x
    x = 266,858,945,627,690,528/369,500,818.50
  6. Step 6: Final answer
    x = 722,214,761.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.