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Finding the Third Proportional to 467,739 and 753,286.50

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Solution

The third proportional to 467,739 and 753,286.50 is: 1,213,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,739 : 753,286.50 = 753,286.50 : x
  2. Step 2: Convert to fraction form
    467,739/753,286.50 = 753,286.50/x
  3. Step 3: Cross multiply
    467,739x = 753,286.50 × 753,286.50
  4. Step 4: Simplify right side
    467,739x = 567,440,551,082.25
  5. Step 5: Solve for x
    x = 567,440,551,082.25/467,739
  6. Step 6: Final answer
    x = 1,213,156.38

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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.