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Finding the Third Proportional to 204,705 and 440,514

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Solution

The third proportional to 204,705 and 440,514 is: 947,962.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,705 : 440,514 = 440,514 : x
  2. Step 2: Convert to fraction form
    204,705/440,514 = 440,514/x
  3. Step 3: Cross multiply
    204,705x = 440,514 × 440,514
  4. Step 4: Simplify right side
    204,705x = 194,052,584,196
  5. Step 5: Solve for x
    x = 194,052,584,196/204,705
  6. Step 6: Final answer
    x = 947,962.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.