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Finding the Third Proportional to 371,876 and 805,576

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Solution

The third proportional to 371,876 and 805,576 is: 1,745,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,876 : 805,576 = 805,576 : x
  2. Step 2: Convert to fraction form
    371,876/805,576 = 805,576/x
  3. Step 3: Cross multiply
    371,876x = 805,576 × 805,576
  4. Step 4: Simplify right side
    371,876x = 648,952,691,776
  5. Step 5: Solve for x
    x = 648,952,691,776/371,876
  6. Step 6: Final answer
    x = 1,745,078.18

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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.