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Finding the Third Proportional to 467,899 and 753,526

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Solution

The third proportional to 467,899 and 753,526 is: 1,213,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,899 : 753,526 = 753,526 : x
  2. Step 2: Convert to fraction form
    467,899/753,526 = 753,526/x
  3. Step 3: Cross multiply
    467,899x = 753,526 × 753,526
  4. Step 4: Simplify right side
    467,899x = 567,801,432,676
  5. Step 5: Solve for x
    x = 567,801,432,676/467,899
  6. Step 6: Final answer
    x = 1,213,512.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.