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Finding the Third Proportional to 467,124 and 722,467

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Solution

The third proportional to 467,124 and 722,467 is: 1,117,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,124 : 722,467 = 722,467 : x
  2. Step 2: Convert to fraction form
    467,124/722,467 = 722,467/x
  3. Step 3: Cross multiply
    467,124x = 722,467 × 722,467
  4. Step 4: Simplify right side
    467,124x = 521,958,566,089
  5. Step 5: Solve for x
    x = 521,958,566,089/467,124
  6. Step 6: Final answer
    x = 1,117,387.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.