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Finding the Third Proportional to 359,342.25 and 539,022.75

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Solution

The third proportional to 359,342.25 and 539,022.75 is: 808,548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,342.25 : 539,022.75 = 539,022.75 : x
  2. Step 2: Convert to fraction form
    359,342.25/539,022.75 = 539,022.75/x
  3. Step 3: Cross multiply
    359,342.25x = 539,022.75 × 539,022.75
  4. Step 4: Simplify right side
    359,342.25x = 290,545,525,017.56
  5. Step 5: Solve for x
    x = 290,545,525,017.56/359,342.25
  6. Step 6: Final answer
    x = 808,548.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.