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Finding the Third Proportional to 263,872 and 514,541

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Solution

The third proportional to 263,872 and 514,541 is: 1,003,336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,872 : 514,541 = 514,541 : x
  2. Step 2: Convert to fraction form
    263,872/514,541 = 514,541/x
  3. Step 3: Cross multiply
    263,872x = 514,541 × 514,541
  4. Step 4: Simplify right side
    263,872x = 264,752,440,681
  5. Step 5: Solve for x
    x = 264,752,440,681/263,872
  6. Step 6: Final answer
    x = 1,003,336.62

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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.