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Finding the Third Proportional to 541,876 and 804,970

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Solution

The third proportional to 541,876 and 804,970 is: 1,195,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,876 : 804,970 = 804,970 : x
  2. Step 2: Convert to fraction form
    541,876/804,970 = 804,970/x
  3. Step 3: Cross multiply
    541,876x = 804,970 × 804,970
  4. Step 4: Simplify right side
    541,876x = 647,976,700,900
  5. Step 5: Solve for x
    x = 647,976,700,900/541,876
  6. Step 6: Final answer
    x = 1,195,802.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.