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Finding the Third Proportional to 398,053.13 and 595,621.13

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Solution

The third proportional to 398,053.13 and 595,621.13 is: 891,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,053.13 : 595,621.13 = 595,621.13 : x
  2. Step 2: Convert to fraction form
    398,053.13/595,621.13 = 595,621.13/x
  3. Step 3: Cross multiply
    398,053.13x = 595,621.13 × 595,621.13
  4. Step 4: Simplify right side
    398,053.13x = 354,764,524,546.27
  5. Step 5: Solve for x
    x = 354,764,524,546.27/398,053.13
  6. Step 6: Final answer
    x = 891,249.19

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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.