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Finding the Third Proportional to 170,594 and 396,581

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Solution

The third proportional to 170,594 and 396,581 is: 921,934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,594 : 396,581 = 396,581 : x
  2. Step 2: Convert to fraction form
    170,594/396,581 = 396,581/x
  3. Step 3: Cross multiply
    170,594x = 396,581 × 396,581
  4. Step 4: Simplify right side
    170,594x = 157,276,489,561
  5. Step 5: Solve for x
    x = 157,276,489,561/170,594
  6. Step 6: Final answer
    x = 921,934.47

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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.