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Finding the Third Proportional to 317,724 and 466,857

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Solution

The third proportional to 317,724 and 466,857 is: 685,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,724 : 466,857 = 466,857 : x
  2. Step 2: Convert to fraction form
    317,724/466,857 = 466,857/x
  3. Step 3: Cross multiply
    317,724x = 466,857 × 466,857
  4. Step 4: Simplify right side
    317,724x = 217,955,458,449
  5. Step 5: Solve for x
    x = 217,955,458,449/317,724
  6. Step 6: Final answer
    x = 685,989.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.