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Finding the Third Proportional to 262,023 and 561,441

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Solution

The third proportional to 262,023 and 561,441 is: 1,203,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,023 : 561,441 = 561,441 : x
  2. Step 2: Convert to fraction form
    262,023/561,441 = 561,441/x
  3. Step 3: Cross multiply
    262,023x = 561,441 × 561,441
  4. Step 4: Simplify right side
    262,023x = 315,215,996,481
  5. Step 5: Solve for x
    x = 315,215,996,481/262,023
  6. Step 6: Final answer
    x = 1,203,008.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.