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Finding the Third Proportional to 524,956 and 814,398

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Solution

The third proportional to 524,956 and 814,398 is: 1,263,427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,956 : 814,398 = 814,398 : x
  2. Step 2: Convert to fraction form
    524,956/814,398 = 814,398/x
  3. Step 3: Cross multiply
    524,956x = 814,398 × 814,398
  4. Step 4: Simplify right side
    524,956x = 663,244,102,404
  5. Step 5: Solve for x
    x = 663,244,102,404/524,956
  6. Step 6: Final answer
    x = 1,263,427.99

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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.