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Finding the Third Proportional to 361,749.75 and 785,775

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Solution

The third proportional to 361,749.75 and 785,775 is: 1,706,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,749.75 : 785,775 = 785,775 : x
  2. Step 2: Convert to fraction form
    361,749.75/785,775 = 785,775/x
  3. Step 3: Cross multiply
    361,749.75x = 785,775 × 785,775
  4. Step 4: Simplify right side
    361,749.75x = 617,442,350,625
  5. Step 5: Solve for x
    x = 617,442,350,625/361,749.75
  6. Step 6: Final answer
    x = 1,706,821.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.