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Finding the Third Proportional to 359,346.75 and 729,252.75

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Solution

The third proportional to 359,346.75 and 729,252.75 is: 1,479,934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,346.75 : 729,252.75 = 729,252.75 : x
  2. Step 2: Convert to fraction form
    359,346.75/729,252.75 = 729,252.75/x
  3. Step 3: Cross multiply
    359,346.75x = 729,252.75 × 729,252.75
  4. Step 4: Simplify right side
    359,346.75x = 531,809,573,382.56
  5. Step 5: Solve for x
    x = 531,809,573,382.56/359,346.75
  6. Step 6: Final answer
    x = 1,479,934.28

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.