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Finding the Third Proportional to 359,760 and 519,750

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Solution

The third proportional to 359,760 and 519,750 is: 750,889.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,760 : 519,750 = 519,750 : x
  2. Step 2: Convert to fraction form
    359,760/519,750 = 519,750/x
  3. Step 3: Cross multiply
    359,760x = 519,750 × 519,750
  4. Step 4: Simplify right side
    359,760x = 270,140,062,500
  5. Step 5: Solve for x
    x = 270,140,062,500/359,760
  6. Step 6: Final answer
    x = 750,889.66

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Why These Related Problems?

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