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Finding the Third Proportional to 224,580 and 337,784

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Solution

The third proportional to 224,580 and 337,784 is: 508,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,580 : 337,784 = 337,784 : x
  2. Step 2: Convert to fraction form
    224,580/337,784 = 337,784/x
  3. Step 3: Cross multiply
    224,580x = 337,784 × 337,784
  4. Step 4: Simplify right side
    224,580x = 114,098,030,656
  5. Step 5: Solve for x
    x = 114,098,030,656/224,580
  6. Step 6: Final answer
    x = 508,050.72

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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.