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Finding the Third Proportional to 224,775 and 482,598

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Solution

The third proportional to 224,775 and 482,598 is: 1,036,150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,775 : 482,598 = 482,598 : x
  2. Step 2: Convert to fraction form
    224,775/482,598 = 482,598/x
  3. Step 3: Cross multiply
    224,775x = 482,598 × 482,598
  4. Step 4: Simplify right side
    224,775x = 232,900,829,604
  5. Step 5: Solve for x
    x = 232,900,829,604/224,775
  6. Step 6: Final answer
    x = 1,036,150.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.