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Finding the Third Proportional to 467,980 and 958,132

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Solution

The third proportional to 467,980 and 958,132 is: 1,961,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,980 : 958,132 = 958,132 : x
  2. Step 2: Convert to fraction form
    467,980/958,132 = 958,132/x
  3. Step 3: Cross multiply
    467,980x = 958,132 × 958,132
  4. Step 4: Simplify right side
    467,980x = 918,016,929,424
  5. Step 5: Solve for x
    x = 918,016,929,424/467,980
  6. Step 6: Final answer
    x = 1,961,658.47

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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.