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Finding the Third Proportional to 557,002 and 812,031

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Solution

The third proportional to 557,002 and 812,031 is: 1,183,827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,002 : 812,031 = 812,031 : x
  2. Step 2: Convert to fraction form
    557,002/812,031 = 812,031/x
  3. Step 3: Cross multiply
    557,002x = 812,031 × 812,031
  4. Step 4: Simplify right side
    557,002x = 659,394,344,961
  5. Step 5: Solve for x
    x = 659,394,344,961/557,002
  6. Step 6: Final answer
    x = 1,183,827.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.