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Finding the Third Proportional to 200,275 and 428,980

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Solution

The third proportional to 200,275 and 428,980 is: 918,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,275 : 428,980 = 428,980 : x
  2. Step 2: Convert to fraction form
    200,275/428,980 = 428,980/x
  3. Step 3: Cross multiply
    200,275x = 428,980 × 428,980
  4. Step 4: Simplify right side
    200,275x = 184,023,840,400
  5. Step 5: Solve for x
    x = 184,023,840,400/200,275
  6. Step 6: Final answer
    x = 918,855.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.