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Finding the Third Proportional to 244,914 and 378,283

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Solution

The third proportional to 244,914 and 378,283 is: 584,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,914 : 378,283 = 378,283 : x
  2. Step 2: Convert to fraction form
    244,914/378,283 = 378,283/x
  3. Step 3: Cross multiply
    244,914x = 378,283 × 378,283
  4. Step 4: Simplify right side
    244,914x = 143,098,028,089
  5. Step 5: Solve for x
    x = 143,098,028,089/244,914
  6. Step 6: Final answer
    x = 584,278.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.