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Finding the Third Proportional to 391,176.84 and 857,098.97

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Solution

The third proportional to 391,176.84 and 857,098.97 is: 1,877,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,176.84 : 857,098.97 = 857,098.97 : x
  2. Step 2: Convert to fraction form
    391,176.84/857,098.97 = 857,098.97/x
  3. Step 3: Cross multiply
    391,176.84x = 857,098.97 × 857,098.97
  4. Step 4: Simplify right side
    391,176.84x = 734,618,642,232.31
  5. Step 5: Solve for x
    x = 734,618,642,232.31/391,176.84
  6. Step 6: Final answer
    x = 1,877,970.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.