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Finding the Third Proportional to 359,619.50 and 518,009

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Solution

The third proportional to 359,619.50 and 518,009 is: 746,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,619.50 : 518,009 = 518,009 : x
  2. Step 2: Convert to fraction form
    359,619.50/518,009 = 518,009/x
  3. Step 3: Cross multiply
    359,619.50x = 518,009 × 518,009
  4. Step 4: Simplify right side
    359,619.50x = 268,333,324,081
  5. Step 5: Solve for x
    x = 268,333,324,081/359,619.50
  6. Step 6: Final answer
    x = 746,158.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.