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Finding the Third Proportional to 309,882.38 and 478,836

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Solution

The third proportional to 309,882.38 and 478,836 is: 739,906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,882.38 : 478,836 = 478,836 : x
  2. Step 2: Convert to fraction form
    309,882.38/478,836 = 478,836/x
  3. Step 3: Cross multiply
    309,882.38x = 478,836 × 478,836
  4. Step 4: Simplify right side
    309,882.38x = 229,283,914,896
  5. Step 5: Solve for x
    x = 229,283,914,896/309,882.38
  6. Step 6: Final answer
    x = 739,906.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.