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Finding the Third Proportional to 467,952 and 958,080

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Solution

The third proportional to 467,952 and 958,080 is: 1,961,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,952 : 958,080 = 958,080 : x
  2. Step 2: Convert to fraction form
    467,952/958,080 = 958,080/x
  3. Step 3: Cross multiply
    467,952x = 958,080 × 958,080
  4. Step 4: Simplify right side
    467,952x = 917,917,286,400
  5. Step 5: Solve for x
    x = 917,917,286,400/467,952
  6. Step 6: Final answer
    x = 1,961,562.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.