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Finding the Third Proportional to 359,342.50 and 539,022.50

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Solution

The third proportional to 359,342.50 and 539,022.50 is: 808,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,342.50 : 539,022.50 = 539,022.50 : x
  2. Step 2: Convert to fraction form
    359,342.50/539,022.50 = 539,022.50/x
  3. Step 3: Cross multiply
    359,342.50x = 539,022.50 × 539,022.50
  4. Step 4: Simplify right side
    359,342.50x = 290,545,255,506.25
  5. Step 5: Solve for x
    x = 290,545,255,506.25/359,342.50
  6. Step 6: Final answer
    x = 808,546.88

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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.