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Finding the Third Proportional to 465,930.25 and 637,588

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Solution

The third proportional to 465,930.25 and 637,588 is: 872,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,930.25 : 637,588 = 637,588 : x
  2. Step 2: Convert to fraction form
    465,930.25/637,588 = 637,588/x
  3. Step 3: Cross multiply
    465,930.25x = 637,588 × 637,588
  4. Step 4: Simplify right side
    465,930.25x = 406,518,457,744
  5. Step 5: Solve for x
    x = 406,518,457,744/465,930.25
  6. Step 6: Final answer
    x = 872,487.80

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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.