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Finding the Third Proportional to 359,277 and 499,540.50

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Solution

The third proportional to 359,277 and 499,540.50 is: 694,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,277 : 499,540.50 = 499,540.50 : x
  2. Step 2: Convert to fraction form
    359,277/499,540.50 = 499,540.50/x
  3. Step 3: Cross multiply
    359,277x = 499,540.50 × 499,540.50
  4. Step 4: Simplify right side
    359,277x = 249,540,711,140.25
  5. Step 5: Solve for x
    x = 249,540,711,140.25/359,277
  6. Step 6: Final answer
    x = 694,563.56

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