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Finding the Third Proportional to 391,189.50 and 857,061

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Solution

The third proportional to 391,189.50 and 857,061 is: 1,877,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,189.50 : 857,061 = 857,061 : x
  2. Step 2: Convert to fraction form
    391,189.50/857,061 = 857,061/x
  3. Step 3: Cross multiply
    391,189.50x = 857,061 × 857,061
  4. Step 4: Simplify right side
    391,189.50x = 734,553,557,721
  5. Step 5: Solve for x
    x = 734,553,557,721/391,189.50
  6. Step 6: Final answer
    x = 1,877,743.54

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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.