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Finding the Third Proportional to 584.24 and 1,240.63

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Solution

The third proportional to 584.24 and 1,240.63 is: 2,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.24 : 1,240.63 = 1,240.63 : x
  2. Step 2: Convert to fraction form
    584.24/1,240.63 = 1,240.63/x
  3. Step 3: Cross multiply
    584.24x = 1,240.63 × 1,240.63
  4. Step 4: Simplify right side
    584.24x = 1,539,160.08
  5. Step 5: Solve for x
    x = 1,539,160.08/584.24
  6. Step 6: Final answer
    x = 2,634.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.