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Finding the Third Proportional to 367,629 and 807,750

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Solution

The third proportional to 367,629 and 807,750 is: 1,774,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,629 : 807,750 = 807,750 : x
  2. Step 2: Convert to fraction form
    367,629/807,750 = 807,750/x
  3. Step 3: Cross multiply
    367,629x = 807,750 × 807,750
  4. Step 4: Simplify right side
    367,629x = 652,460,062,500
  5. Step 5: Solve for x
    x = 652,460,062,500/367,629
  6. Step 6: Final answer
    x = 1,774,778.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.