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Finding the Third Proportional to 170,596 and 396,586

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Solution

The third proportional to 170,596 and 396,586 is: 921,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,596 : 396,586 = 396,586 : x
  2. Step 2: Convert to fraction form
    170,596/396,586 = 396,586/x
  3. Step 3: Cross multiply
    170,596x = 396,586 × 396,586
  4. Step 4: Simplify right side
    170,596x = 157,280,455,396
  5. Step 5: Solve for x
    x = 157,280,455,396/170,596
  6. Step 6: Final answer
    x = 921,946.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.