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Finding the Third Proportional to 224,598 and 482,055

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Solution

The third proportional to 224,598 and 482,055 is: 1,034,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,598 : 482,055 = 482,055 : x
  2. Step 2: Convert to fraction form
    224,598/482,055 = 482,055/x
  3. Step 3: Cross multiply
    224,598x = 482,055 × 482,055
  4. Step 4: Simplify right side
    224,598x = 232,377,023,025
  5. Step 5: Solve for x
    x = 232,377,023,025/224,598
  6. Step 6: Final answer
    x = 1,034,635.32

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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.