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Finding the Third Proportional to 417,471 and 625,114.50

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Solution

The third proportional to 417,471 and 625,114.50 is: 936,036.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,471 : 625,114.50 = 625,114.50 : x
  2. Step 2: Convert to fraction form
    417,471/625,114.50 = 625,114.50/x
  3. Step 3: Cross multiply
    417,471x = 625,114.50 × 625,114.50
  4. Step 4: Simplify right side
    417,471x = 390,768,138,110.25
  5. Step 5: Solve for x
    x = 390,768,138,110.25/417,471
  6. Step 6: Final answer
    x = 936,036.61

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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.