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Finding the Third Proportional to 414,331 and 646,680

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Solution

The third proportional to 414,331 and 646,680 is: 1,009,325.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,331 : 646,680 = 646,680 : x
  2. Step 2: Convert to fraction form
    414,331/646,680 = 646,680/x
  3. Step 3: Cross multiply
    414,331x = 646,680 × 646,680
  4. Step 4: Simplify right side
    414,331x = 418,195,022,400
  5. Step 5: Solve for x
    x = 418,195,022,400/414,331
  6. Step 6: Final answer
    x = 1,009,325.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.