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Finding the Third Proportional to 359,227.50 and 598,687.50

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Solution

The third proportional to 359,227.50 and 598,687.50 is: 997,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,227.50 : 598,687.50 = 598,687.50 : x
  2. Step 2: Convert to fraction form
    359,227.50/598,687.50 = 598,687.50/x
  3. Step 3: Cross multiply
    359,227.50x = 598,687.50 × 598,687.50
  4. Step 4: Simplify right side
    359,227.50x = 358,426,722,656.25
  5. Step 5: Solve for x
    x = 358,426,722,656.25/359,227.50
  6. Step 6: Final answer
    x = 997,770.84

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.