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Finding the Third Proportional to 591,478.31 and 886,218.19

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Solution

The third proportional to 591,478.31 and 886,218.19 is: 1,327,830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,478.31 : 886,218.19 = 886,218.19 : x
  2. Step 2: Convert to fraction form
    591,478.31/886,218.19 = 886,218.19/x
  3. Step 3: Cross multiply
    591,478.31x = 886,218.19 × 886,218.19
  4. Step 4: Simplify right side
    591,478.31x = 785,382,675,855.79
  5. Step 5: Solve for x
    x = 785,382,675,855.79/591,478.31
  6. Step 6: Final answer
    x = 1,327,830.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.