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Finding the Third Proportional to 213,846 and 461,586

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Solution

The third proportional to 213,846 and 461,586 is: 996,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,846 : 461,586 = 461,586 : x
  2. Step 2: Convert to fraction form
    213,846/461,586 = 461,586/x
  3. Step 3: Cross multiply
    213,846x = 461,586 × 461,586
  4. Step 4: Simplify right side
    213,846x = 213,061,635,396
  5. Step 5: Solve for x
    x = 213,061,635,396/213,846
  6. Step 6: Final answer
    x = 996,332.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.