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Finding the Third Proportional to 359,172 and 522,962

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Solution

The third proportional to 359,172 and 522,962 is: 761,443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,172 : 522,962 = 522,962 : x
  2. Step 2: Convert to fraction form
    359,172/522,962 = 522,962/x
  3. Step 3: Cross multiply
    359,172x = 522,962 × 522,962
  4. Step 4: Simplify right side
    359,172x = 273,489,253,444
  5. Step 5: Solve for x
    x = 273,489,253,444/359,172
  6. Step 6: Final answer
    x = 761,443.69

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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.