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Finding the Third Proportional to 224,585 and 337,789

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Solution

The third proportional to 224,585 and 337,789 is: 508,054.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,585 : 337,789 = 337,789 : x
  2. Step 2: Convert to fraction form
    224,585/337,789 = 337,789/x
  3. Step 3: Cross multiply
    224,585x = 337,789 × 337,789
  4. Step 4: Simplify right side
    224,585x = 114,101,408,521
  5. Step 5: Solve for x
    x = 114,101,408,521/224,585
  6. Step 6: Final answer
    x = 508,054.45

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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.