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Finding the Third Proportional to 220,656 and 476,294

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Solution

The third proportional to 220,656 and 476,294 is: 1,028,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,656 : 476,294 = 476,294 : x
  2. Step 2: Convert to fraction form
    220,656/476,294 = 476,294/x
  3. Step 3: Cross multiply
    220,656x = 476,294 × 476,294
  4. Step 4: Simplify right side
    220,656x = 226,855,974,436
  5. Step 5: Solve for x
    x = 226,855,974,436/220,656
  6. Step 6: Final answer
    x = 1,028,097.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.