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Finding the Third Proportional to 278.86 and 584.30

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Solution

The third proportional to 278.86 and 584.30 is: 1,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.86 : 584.30 = 584.30 : x
  2. Step 2: Convert to fraction form
    278.86/584.30 = 584.30/x
  3. Step 3: Cross multiply
    278.86x = 584.30 × 584.30
  4. Step 4: Simplify right side
    278.86x = 341,402.84
  5. Step 5: Solve for x
    x = 341,402.84/278.86
  6. Step 6: Final answer
    x = 1,224.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.