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Finding the Third Proportional to 305.81 and 625.78

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Solution

The third proportional to 305.81 and 625.78 is: 1,280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.81 : 625.78 = 625.78 : x
  2. Step 2: Convert to fraction form
    305.81/625.78 = 625.78/x
  3. Step 3: Cross multiply
    305.81x = 625.78 × 625.78
  4. Step 4: Simplify right side
    305.81x = 391,602.17
  5. Step 5: Solve for x
    x = 391,602.17/305.81
  6. Step 6: Final answer
    x = 1,280.53

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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.