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Finding the Third Proportional to 293,478 and 466,846

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Solution

The third proportional to 293,478 and 466,846 is: 742,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,478 : 466,846 = 466,846 : x
  2. Step 2: Convert to fraction form
    293,478/466,846 = 466,846/x
  3. Step 3: Cross multiply
    293,478x = 466,846 × 466,846
  4. Step 4: Simplify right side
    293,478x = 217,945,187,716
  5. Step 5: Solve for x
    x = 217,945,187,716/293,478
  6. Step 6: Final answer
    x = 742,628.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.