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Finding the Third Proportional to 381.59 and 783.11

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Solution

The third proportional to 381.59 and 783.11 is: 1,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.59 : 783.11 = 783.11 : x
  2. Step 2: Convert to fraction form
    381.59/783.11 = 783.11/x
  3. Step 3: Cross multiply
    381.59x = 783.11 × 783.11
  4. Step 4: Simplify right side
    381.59x = 613,254.18
  5. Step 5: Solve for x
    x = 613,254.18/381.59
  6. Step 6: Final answer
    x = 1,607.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.