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Finding the Third Proportional to 299,472 and 649,306.50

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Solution

The third proportional to 299,472 and 649,306.50 is: 1,407,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,472 : 649,306.50 = 649,306.50 : x
  2. Step 2: Convert to fraction form
    299,472/649,306.50 = 649,306.50/x
  3. Step 3: Cross multiply
    299,472x = 649,306.50 × 649,306.50
  4. Step 4: Simplify right side
    299,472x = 421,598,930,942.25
  5. Step 5: Solve for x
    x = 421,598,930,942.25/299,472
  6. Step 6: Final answer
    x = 1,407,807.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.