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Finding the Third Proportional to 416,727 and 622,345.50

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Solution

The third proportional to 416,727 and 622,345.50 is: 929,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,727 : 622,345.50 = 622,345.50 : x
  2. Step 2: Convert to fraction form
    416,727/622,345.50 = 622,345.50/x
  3. Step 3: Cross multiply
    416,727x = 622,345.50 × 622,345.50
  4. Step 4: Simplify right side
    416,727x = 387,313,921,370.25
  5. Step 5: Solve for x
    x = 387,313,921,370.25/416,727
  6. Step 6: Final answer
    x = 929,418.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.