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Finding the Third Proportional to 263,856 and 514,587

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Solution

The third proportional to 263,856 and 514,587 is: 1,003,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,856 : 514,587 = 514,587 : x
  2. Step 2: Convert to fraction form
    263,856/514,587 = 514,587/x
  3. Step 3: Cross multiply
    263,856x = 514,587 × 514,587
  4. Step 4: Simplify right side
    263,856x = 264,799,780,569
  5. Step 5: Solve for x
    x = 264,799,780,569/263,856
  6. Step 6: Final answer
    x = 1,003,576.88

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.