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Finding the Third Proportional to 250,743 and 553,974

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Solution

The third proportional to 250,743 and 553,974 is: 1,223,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,743 : 553,974 = 553,974 : x
  2. Step 2: Convert to fraction form
    250,743/553,974 = 553,974/x
  3. Step 3: Cross multiply
    250,743x = 553,974 × 553,974
  4. Step 4: Simplify right side
    250,743x = 306,887,192,676
  5. Step 5: Solve for x
    x = 306,887,192,676/250,743
  6. Step 6: Final answer
    x = 1,223,911.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.