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Finding the Third Proportional to 584.30 and 1,254.23

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Solution

The third proportional to 584.30 and 1,254.23 is: 2,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.30 : 1,254.23 = 1,254.23 : x
  2. Step 2: Convert to fraction form
    584.30/1,254.23 = 1,254.23/x
  3. Step 3: Cross multiply
    584.30x = 1,254.23 × 1,254.23
  4. Step 4: Simplify right side
    584.30x = 1,573,103.87
  5. Step 5: Solve for x
    x = 1,573,103.87/584.30
  6. Step 6: Final answer
    x = 2,692.30

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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.