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Finding the Third Proportional to 224,577 and 337,776

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Solution

The third proportional to 224,577 and 337,776 is: 508,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,577 : 337,776 = 337,776 : x
  2. Step 2: Convert to fraction form
    224,577/337,776 = 337,776/x
  3. Step 3: Cross multiply
    224,577x = 337,776 × 337,776
  4. Step 4: Simplify right side
    224,577x = 114,092,626,176
  5. Step 5: Solve for x
    x = 114,092,626,176/224,577
  6. Step 6: Final answer
    x = 508,033.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.