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Finding the Third Proportional to 217,496 and 476,464

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Solution

The third proportional to 217,496 and 476,464 is: 1,043,779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,496 : 476,464 = 476,464 : x
  2. Step 2: Convert to fraction form
    217,496/476,464 = 476,464/x
  3. Step 3: Cross multiply
    217,496x = 476,464 × 476,464
  4. Step 4: Simplify right side
    217,496x = 227,017,943,296
  5. Step 5: Solve for x
    x = 227,017,943,296/217,496
  6. Step 6: Final answer
    x = 1,043,779.85

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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.