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Finding the Third Proportional to 322,921.13 and 707,199.75

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Solution

The third proportional to 322,921.13 and 707,199.75 is: 1,548,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,921.13 : 707,199.75 = 707,199.75 : x
  2. Step 2: Convert to fraction form
    322,921.13/707,199.75 = 707,199.75/x
  3. Step 3: Cross multiply
    322,921.13x = 707,199.75 × 707,199.75
  4. Step 4: Simplify right side
    322,921.13x = 500,131,486,400.06
  5. Step 5: Solve for x
    x = 500,131,486,400.06/322,921.13
  6. Step 6: Final answer
    x = 1,548,772.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.