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Finding the Third Proportional to 359,059.50 and 546,049.69

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Solution

The third proportional to 359,059.50 and 546,049.69 is: 830,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,059.50 : 546,049.69 = 546,049.69 : x
  2. Step 2: Convert to fraction form
    359,059.50/546,049.69 = 546,049.69/x
  3. Step 3: Cross multiply
    359,059.50x = 546,049.69 × 546,049.69
  4. Step 4: Simplify right side
    359,059.50x = 298,170,261,218.85
  5. Step 5: Solve for x
    x = 298,170,261,218.85/359,059.50
  6. Step 6: Final answer
    x = 830,420.20

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.