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Finding the Third Proportional to 633,972 and 940,479

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Solution

The third proportional to 633,972 and 940,479 is: 1,395,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,972 : 940,479 = 940,479 : x
  2. Step 2: Convert to fraction form
    633,972/940,479 = 940,479/x
  3. Step 3: Cross multiply
    633,972x = 940,479 × 940,479
  4. Step 4: Simplify right side
    633,972x = 884,500,749,441
  5. Step 5: Solve for x
    x = 884,500,749,441/633,972
  6. Step 6: Final answer
    x = 1,395,173.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.