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Finding the Third Proportional to 418,318 and 646,372

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Solution

The third proportional to 418,318 and 646,372 is: 998,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,318 : 646,372 = 646,372 : x
  2. Step 2: Convert to fraction form
    418,318/646,372 = 646,372/x
  3. Step 3: Cross multiply
    418,318x = 646,372 × 646,372
  4. Step 4: Simplify right side
    418,318x = 417,796,762,384
  5. Step 5: Solve for x
    x = 417,796,762,384/418,318
  6. Step 6: Final answer
    x = 998,753.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.