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Finding the Third Proportional to 359,247.50 and 499,505

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Solution

The third proportional to 359,247.50 and 499,505 is: 694,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,247.50 : 499,505 = 499,505 : x
  2. Step 2: Convert to fraction form
    359,247.50/499,505 = 499,505/x
  3. Step 3: Cross multiply
    359,247.50x = 499,505 × 499,505
  4. Step 4: Simplify right side
    359,247.50x = 249,505,245,025
  5. Step 5: Solve for x
    x = 249,505,245,025/359,247.50
  6. Step 6: Final answer
    x = 694,521.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.