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Finding the Third Proportional to 359,275.50 and 499,538.25

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Solution

The third proportional to 359,275.50 and 499,538.25 is: 694,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,275.50 : 499,538.25 = 499,538.25 : x
  2. Step 2: Convert to fraction form
    359,275.50/499,538.25 = 499,538.25/x
  3. Step 3: Cross multiply
    359,275.50x = 499,538.25 × 499,538.25
  4. Step 4: Simplify right side
    359,275.50x = 249,538,463,213.06
  5. Step 5: Solve for x
    x = 249,538,463,213.06/359,275.50
  6. Step 6: Final answer
    x = 694,560.20

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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.