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Finding the Third Proportional to 215,713 and 326,586

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Solution

The third proportional to 215,713 and 326,586 is: 494,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,713 : 326,586 = 326,586 : x
  2. Step 2: Convert to fraction form
    215,713/326,586 = 326,586/x
  3. Step 3: Cross multiply
    215,713x = 326,586 × 326,586
  4. Step 4: Simplify right side
    215,713x = 106,658,415,396
  5. Step 5: Solve for x
    x = 106,658,415,396/215,713
  6. Step 6: Final answer
    x = 494,445.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.