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Finding the Third Proportional to 200,319 and 440,958

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Solution

The third proportional to 200,319 and 440,958 is: 970,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,319 : 440,958 = 440,958 : x
  2. Step 2: Convert to fraction form
    200,319/440,958 = 440,958/x
  3. Step 3: Cross multiply
    200,319x = 440,958 × 440,958
  4. Step 4: Simplify right side
    200,319x = 194,443,957,764
  5. Step 5: Solve for x
    x = 194,443,957,764/200,319
  6. Step 6: Final answer
    x = 970,671.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.