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Finding the Third Proportional to 359,169.75 and 522,959.63

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Solution

The third proportional to 359,169.75 and 522,959.63 is: 761,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,169.75 : 522,959.63 = 522,959.63 : x
  2. Step 2: Convert to fraction form
    359,169.75/522,959.63 = 522,959.63/x
  3. Step 3: Cross multiply
    359,169.75x = 522,959.63 × 522,959.63
  4. Step 4: Simplify right side
    359,169.75x = 273,486,769,380.14
  5. Step 5: Solve for x
    x = 273,486,769,380.14/359,169.75
  6. Step 6: Final answer
    x = 761,441.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.