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Finding the Third Proportional to 224,715 and 482,478

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Solution

The third proportional to 224,715 and 482,478 is: 1,035,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,715 : 482,478 = 482,478 : x
  2. Step 2: Convert to fraction form
    224,715/482,478 = 482,478/x
  3. Step 3: Cross multiply
    224,715x = 482,478 × 482,478
  4. Step 4: Simplify right side
    224,715x = 232,785,020,484
  5. Step 5: Solve for x
    x = 232,785,020,484/224,715
  6. Step 6: Final answer
    x = 1,035,912.25

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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.