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Finding the Third Proportional to 444,158.44 and 715,294.13

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Solution

The third proportional to 444,158.44 and 715,294.13 is: 1,151,944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,158.44 : 715,294.13 = 715,294.13 : x
  2. Step 2: Convert to fraction form
    444,158.44/715,294.13 = 715,294.13/x
  3. Step 3: Cross multiply
    444,158.44x = 715,294.13 × 715,294.13
  4. Step 4: Simplify right side
    444,158.44x = 511,645,685,259.52
  5. Step 5: Solve for x
    x = 511,645,685,259.52/444,158.44
  6. Step 6: Final answer
    x = 1,151,944.09

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.