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Finding the Third Proportional to 538,874 and 749,261

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Solution

The third proportional to 538,874 and 749,261 is: 1,041,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,874 : 749,261 = 749,261 : x
  2. Step 2: Convert to fraction form
    538,874/749,261 = 749,261/x
  3. Step 3: Cross multiply
    538,874x = 749,261 × 749,261
  4. Step 4: Simplify right side
    538,874x = 561,392,046,121
  5. Step 5: Solve for x
    x = 561,392,046,121/538,874
  6. Step 6: Final answer
    x = 1,041,787.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.