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Finding the Third Proportional to 317,736 and 466,875

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Solution

The third proportional to 317,736 and 466,875 is: 686,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,736 : 466,875 = 466,875 : x
  2. Step 2: Convert to fraction form
    317,736/466,875 = 466,875/x
  3. Step 3: Cross multiply
    317,736x = 466,875 × 466,875
  4. Step 4: Simplify right side
    317,736x = 217,972,265,625
  5. Step 5: Solve for x
    x = 217,972,265,625/317,736
  6. Step 6: Final answer
    x = 686,016.90

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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.