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Finding the Third Proportional to 293,758 and 439,522

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Solution

The third proportional to 293,758 and 439,522 is: 657,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,758 : 439,522 = 439,522 : x
  2. Step 2: Convert to fraction form
    293,758/439,522 = 439,522/x
  3. Step 3: Cross multiply
    293,758x = 439,522 × 439,522
  4. Step 4: Simplify right side
    293,758x = 193,179,588,484
  5. Step 5: Solve for x
    x = 193,179,588,484/293,758
  6. Step 6: Final answer
    x = 657,614.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.