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Finding the Third Proportional to 467,777 and 753,344

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Solution

The third proportional to 467,777 and 753,344 is: 1,213,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,777 : 753,344 = 753,344 : x
  2. Step 2: Convert to fraction form
    467,777/753,344 = 753,344/x
  3. Step 3: Cross multiply
    467,777x = 753,344 × 753,344
  4. Step 4: Simplify right side
    467,777x = 567,527,182,336
  5. Step 5: Solve for x
    x = 567,527,182,336/467,777
  6. Step 6: Final answer
    x = 1,213,243.02

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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.