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Finding the Third Proportional to 467,740 and 753,288

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Solution

The third proportional to 467,740 and 753,288 is: 1,213,158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,740 : 753,288 = 753,288 : x
  2. Step 2: Convert to fraction form
    467,740/753,288 = 753,288/x
  3. Step 3: Cross multiply
    467,740x = 753,288 × 753,288
  4. Step 4: Simplify right side
    467,740x = 567,442,810,944
  5. Step 5: Solve for x
    x = 567,442,810,944/467,740
  6. Step 6: Final answer
    x = 1,213,158.62

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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.