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Finding the Third Proportional to 241,486 and 527,846

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Solution

The third proportional to 241,486 and 527,846 is: 1,153,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,486 : 527,846 = 527,846 : x
  2. Step 2: Convert to fraction form
    241,486/527,846 = 527,846/x
  3. Step 3: Cross multiply
    241,486x = 527,846 × 527,846
  4. Step 4: Simplify right side
    241,486x = 278,621,399,716
  5. Step 5: Solve for x
    x = 278,621,399,716/241,486
  6. Step 6: Final answer
    x = 1,153,778.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.