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Finding the Third Proportional to 465,933 and 637,591

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Solution

The third proportional to 465,933 and 637,591 is: 872,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,933 : 637,591 = 637,591 : x
  2. Step 2: Convert to fraction form
    465,933/637,591 = 637,591/x
  3. Step 3: Cross multiply
    465,933x = 637,591 × 637,591
  4. Step 4: Simplify right side
    465,933x = 406,522,283,281
  5. Step 5: Solve for x
    x = 406,522,283,281/465,933
  6. Step 6: Final answer
    x = 872,490.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.