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Finding the Third Proportional to 591,511.50 and 886,257

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Solution

The third proportional to 591,511.50 and 886,257 is: 1,327,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,511.50 : 886,257 = 886,257 : x
  2. Step 2: Convert to fraction form
    591,511.50/886,257 = 886,257/x
  3. Step 3: Cross multiply
    591,511.50x = 886,257 × 886,257
  4. Step 4: Simplify right side
    591,511.50x = 785,451,470,049
  5. Step 5: Solve for x
    x = 785,451,470,049/591,511.50
  6. Step 6: Final answer
    x = 1,327,871.85

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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.