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Finding the Third Proportional to 643.78 and 1,384.88

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Solution

The third proportional to 643.78 and 1,384.88 is: 2,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.78 : 1,384.88 = 1,384.88 : x
  2. Step 2: Convert to fraction form
    643.78/1,384.88 = 1,384.88/x
  3. Step 3: Cross multiply
    643.78x = 1,384.88 × 1,384.88
  4. Step 4: Simplify right side
    643.78x = 1,917,878.77
  5. Step 5: Solve for x
    x = 1,917,878.77/643.78
  6. Step 6: Final answer
    x = 2,979.08

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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.