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Finding the Third Proportional to 317,776 and 681,601

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Solution

The third proportional to 317,776 and 681,601 is: 1,461,972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,776 : 681,601 = 681,601 : x
  2. Step 2: Convert to fraction form
    317,776/681,601 = 681,601/x
  3. Step 3: Cross multiply
    317,776x = 681,601 × 681,601
  4. Step 4: Simplify right side
    317,776x = 464,579,923,201
  5. Step 5: Solve for x
    x = 464,579,923,201/317,776
  6. Step 6: Final answer
    x = 1,461,972.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.