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Finding the Third Proportional to 524,378 and 801,849

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Solution

The third proportional to 524,378 and 801,849 is: 1,226,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,378 : 801,849 = 801,849 : x
  2. Step 2: Convert to fraction form
    524,378/801,849 = 801,849/x
  3. Step 3: Cross multiply
    524,378x = 801,849 × 801,849
  4. Step 4: Simplify right side
    524,378x = 642,961,818,801
  5. Step 5: Solve for x
    x = 642,961,818,801/524,378
  6. Step 6: Final answer
    x = 1,226,141.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.