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Finding the Third Proportional to 403,665.75 and 865,287.75

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Solution

The third proportional to 403,665.75 and 865,287.75 is: 1,854,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,665.75 : 865,287.75 = 865,287.75 : x
  2. Step 2: Convert to fraction form
    403,665.75/865,287.75 = 865,287.75/x
  3. Step 3: Cross multiply
    403,665.75x = 865,287.75 × 865,287.75
  4. Step 4: Simplify right side
    403,665.75x = 748,722,890,300.06
  5. Step 5: Solve for x
    x = 748,722,890,300.06/403,665.75
  6. Step 6: Final answer
    x = 1,854,809.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.