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Finding the Third Proportional to 371,876 and 765,764

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Solution

The third proportional to 371,876 and 765,764 is: 1,576,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,876 : 765,764 = 765,764 : x
  2. Step 2: Convert to fraction form
    371,876/765,764 = 765,764/x
  3. Step 3: Cross multiply
    371,876x = 765,764 × 765,764
  4. Step 4: Simplify right side
    371,876x = 586,394,503,696
  5. Step 5: Solve for x
    x = 586,394,503,696/371,876
  6. Step 6: Final answer
    x = 1,576,854.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.