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Finding the Third Proportional to 359,170 and 522,959

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Solution

The third proportional to 359,170 and 522,959 is: 761,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,170 : 522,959 = 522,959 : x
  2. Step 2: Convert to fraction form
    359,170/522,959 = 522,959/x
  3. Step 3: Cross multiply
    359,170x = 522,959 × 522,959
  4. Step 4: Simplify right side
    359,170x = 273,486,115,681
  5. Step 5: Solve for x
    x = 273,486,115,681/359,170
  6. Step 6: Final answer
    x = 761,439.20

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Why These Related Problems?

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