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Finding the Third Proportional to 417,164 and 625,758

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Solution

The third proportional to 417,164 and 625,758 is: 938,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,164 : 625,758 = 625,758 : x
  2. Step 2: Convert to fraction form
    417,164/625,758 = 625,758/x
  3. Step 3: Cross multiply
    417,164x = 625,758 × 625,758
  4. Step 4: Simplify right side
    417,164x = 391,573,074,564
  5. Step 5: Solve for x
    x = 391,573,074,564/417,164
  6. Step 6: Final answer
    x = 938,655.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.