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Finding the Third Proportional to 224,742 and 491,463

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Solution

The third proportional to 224,742 and 491,463 is: 1,074,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,742 : 491,463 = 491,463 : x
  2. Step 2: Convert to fraction form
    224,742/491,463 = 491,463/x
  3. Step 3: Cross multiply
    224,742x = 491,463 × 491,463
  4. Step 4: Simplify right side
    224,742x = 241,535,880,369
  5. Step 5: Solve for x
    x = 241,535,880,369/224,742
  6. Step 6: Final answer
    x = 1,074,725.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.