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Finding the Third Proportional to 341,933 and 791,581

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Solution

The third proportional to 341,933 and 791,581 is: 1,832,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,933 : 791,581 = 791,581 : x
  2. Step 2: Convert to fraction form
    341,933/791,581 = 791,581/x
  3. Step 3: Cross multiply
    341,933x = 791,581 × 791,581
  4. Step 4: Simplify right side
    341,933x = 626,600,479,561
  5. Step 5: Solve for x
    x = 626,600,479,561/341,933
  6. Step 6: Final answer
    x = 1,832,524.15

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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.