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Finding the Third Proportional to 393,437.25 and 577,243.13

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Solution

The third proportional to 393,437.25 and 577,243.13 is: 846,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,437.25 : 577,243.13 = 577,243.13 : x
  2. Step 2: Convert to fraction form
    393,437.25/577,243.13 = 577,243.13/x
  3. Step 3: Cross multiply
    393,437.25x = 577,243.13 × 577,243.13
  4. Step 4: Simplify right side
    393,437.25x = 333,209,625,359.77
  5. Step 5: Solve for x
    x = 333,209,625,359.77/393,437.25
  6. Step 6: Final answer
    x = 846,919.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.