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Finding the Third Proportional to 718,463.25 and 1,197,387.56

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Solution

The third proportional to 718,463.25 and 1,197,387.56 is: 1,995,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,463.25 : 1,197,387.56 = 1,197,387.56 : x
  2. Step 2: Convert to fraction form
    718,463.25/1,197,387.56 = 1,197,387.56/x
  3. Step 3: Cross multiply
    718,463.25x = 1,197,387.56 × 1,197,387.56
  4. Step 4: Simplify right side
    718,463.25x = 1,433,736,974,829.69
  5. Step 5: Solve for x
    x = 1,433,736,974,829.69/718,463.25
  6. Step 6: Final answer
    x = 1,995,560.63

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.