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Finding the Third Proportional to 224,580 and 337,779

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Solution

The third proportional to 224,580 and 337,779 is: 508,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,580 : 337,779 = 337,779 : x
  2. Step 2: Convert to fraction form
    224,580/337,779 = 337,779/x
  3. Step 3: Cross multiply
    224,580x = 337,779 × 337,779
  4. Step 4: Simplify right side
    224,580x = 114,094,652,841
  5. Step 5: Solve for x
    x = 114,094,652,841/224,580
  6. Step 6: Final answer
    x = 508,035.68

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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.