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Finding the Third Proportional to 204,644 and 315,714

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Solution

The third proportional to 204,644 and 315,714 is: 487,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,644 : 315,714 = 315,714 : x
  2. Step 2: Convert to fraction form
    204,644/315,714 = 315,714/x
  3. Step 3: Cross multiply
    204,644x = 315,714 × 315,714
  4. Step 4: Simplify right side
    204,644x = 99,675,329,796
  5. Step 5: Solve for x
    x = 99,675,329,796/204,644
  6. Step 6: Final answer
    x = 487,066.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.