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Finding the Third Proportional to 417,217 and 856,551

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Solution

The third proportional to 417,217 and 856,551 is: 1,758,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,217 : 856,551 = 856,551 : x
  2. Step 2: Convert to fraction form
    417,217/856,551 = 856,551/x
  3. Step 3: Cross multiply
    417,217x = 856,551 × 856,551
  4. Step 4: Simplify right side
    417,217x = 733,679,615,601
  5. Step 5: Solve for x
    x = 733,679,615,601/417,217
  6. Step 6: Final answer
    x = 1,758,508.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.