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Finding the Third Proportional to 359,163 and 522,949.50

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Solution

The third proportional to 359,163 and 522,949.50 is: 761,426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,163 : 522,949.50 = 522,949.50 : x
  2. Step 2: Convert to fraction form
    359,163/522,949.50 = 522,949.50/x
  3. Step 3: Cross multiply
    359,163x = 522,949.50 × 522,949.50
  4. Step 4: Simplify right side
    359,163x = 273,476,179,550.25
  5. Step 5: Solve for x
    x = 273,476,179,550.25/359,163
  6. Step 6: Final answer
    x = 761,426.37

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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.