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Finding the Third Proportional to 633,960 and 940,464

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Solution

The third proportional to 633,960 and 940,464 is: 1,395,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,960 : 940,464 = 940,464 : x
  2. Step 2: Convert to fraction form
    633,960/940,464 = 940,464/x
  3. Step 3: Cross multiply
    633,960x = 940,464 × 940,464
  4. Step 4: Simplify right side
    633,960x = 884,472,535,296
  5. Step 5: Solve for x
    x = 884,472,535,296/633,960
  6. Step 6: Final answer
    x = 1,395,155.11

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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.