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Finding the Third Proportional to 328,412.75 and 707,470.75

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Solution

The third proportional to 328,412.75 and 707,470.75 is: 1,524,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,412.75 : 707,470.75 = 707,470.75 : x
  2. Step 2: Convert to fraction form
    328,412.75/707,470.75 = 707,470.75/x
  3. Step 3: Cross multiply
    328,412.75x = 707,470.75 × 707,470.75
  4. Step 4: Simplify right side
    328,412.75x = 500,514,862,105.56
  5. Step 5: Solve for x
    x = 500,514,862,105.56/328,412.75
  6. Step 6: Final answer
    x = 1,524,042.12

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