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Finding the Third Proportional to 217,488 and 476,448

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Solution

The third proportional to 217,488 and 476,448 is: 1,043,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,488 : 476,448 = 476,448 : x
  2. Step 2: Convert to fraction form
    217,488/476,448 = 476,448/x
  3. Step 3: Cross multiply
    217,488x = 476,448 × 476,448
  4. Step 4: Simplify right side
    217,488x = 227,002,696,704
  5. Step 5: Solve for x
    x = 227,002,696,704/217,488
  6. Step 6: Final answer
    x = 1,043,748.15

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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.