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Finding the Third Proportional to 367,561 and 779,732.75

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Solution

The third proportional to 367,561 and 779,732.75 is: 1,654,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,561 : 779,732.75 = 779,732.75 : x
  2. Step 2: Convert to fraction form
    367,561/779,732.75 = 779,732.75/x
  3. Step 3: Cross multiply
    367,561x = 779,732.75 × 779,732.75
  4. Step 4: Simplify right side
    367,561x = 607,983,161,422.56
  5. Step 5: Solve for x
    x = 607,983,161,422.56/367,561
  6. Step 6: Final answer
    x = 1,654,101.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.