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Finding the Third Proportional to 467,754 and 753,309

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Solution

The third proportional to 467,754 and 753,309 is: 1,213,189.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,754 : 753,309 = 753,309 : x
  2. Step 2: Convert to fraction form
    467,754/753,309 = 753,309/x
  3. Step 3: Cross multiply
    467,754x = 753,309 × 753,309
  4. Step 4: Simplify right side
    467,754x = 567,474,449,481
  5. Step 5: Solve for x
    x = 567,474,449,481/467,754
  6. Step 6: Final answer
    x = 1,213,189.94

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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.