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Finding the Third Proportional to 398,422.13 and 600,967.69

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Solution

The third proportional to 398,422.13 and 600,967.69 is: 906,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,422.13 : 600,967.69 = 600,967.69 : x
  2. Step 2: Convert to fraction form
    398,422.13/600,967.69 = 600,967.69/x
  3. Step 3: Cross multiply
    398,422.13x = 600,967.69 × 600,967.69
  4. Step 4: Simplify right side
    398,422.13x = 361,162,161,419.10
  5. Step 5: Solve for x
    x = 361,162,161,419.10/398,422.13
  6. Step 6: Final answer
    x = 906,481.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.