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Finding the Third Proportional to 328,422.25 and 707,489.75

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Solution

The third proportional to 328,422.25 and 707,489.75 is: 1,524,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,422.25 : 707,489.75 = 707,489.75 : x
  2. Step 2: Convert to fraction form
    328,422.25/707,489.75 = 707,489.75/x
  3. Step 3: Cross multiply
    328,422.25x = 707,489.75 × 707,489.75
  4. Step 4: Simplify right side
    328,422.25x = 500,541,746,355.06
  5. Step 5: Solve for x
    x = 500,541,746,355.06/328,422.25
  6. Step 6: Final answer
    x = 1,524,079.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.