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Finding the Third Proportional to 359,859 and 518,404.50

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Solution

The third proportional to 359,859 and 518,404.50 is: 746,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,859 : 518,404.50 = 518,404.50 : x
  2. Step 2: Convert to fraction form
    359,859/518,404.50 = 518,404.50/x
  3. Step 3: Cross multiply
    359,859x = 518,404.50 × 518,404.50
  4. Step 4: Simplify right side
    359,859x = 268,743,225,620.25
  5. Step 5: Solve for x
    x = 268,743,225,620.25/359,859
  6. Step 6: Final answer
    x = 746,801.46

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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.