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Finding the Third Proportional to 524,919 and 814,353

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Solution

The third proportional to 524,919 and 814,353 is: 1,263,377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,919 : 814,353 = 814,353 : x
  2. Step 2: Convert to fraction form
    524,919/814,353 = 814,353/x
  3. Step 3: Cross multiply
    524,919x = 814,353 × 814,353
  4. Step 4: Simplify right side
    524,919x = 663,170,808,609
  5. Step 5: Solve for x
    x = 663,170,808,609/524,919
  6. Step 6: Final answer
    x = 1,263,377.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.