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Finding the Third Proportional to 582.75 and 1,267.50

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Solution

The third proportional to 582.75 and 1,267.50 is: 2,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.75 : 1,267.50 = 1,267.50 : x
  2. Step 2: Convert to fraction form
    582.75/1,267.50 = 1,267.50/x
  3. Step 3: Cross multiply
    582.75x = 1,267.50 × 1,267.50
  4. Step 4: Simplify right side
    582.75x = 1,606,556.25
  5. Step 5: Solve for x
    x = 1,606,556.25/582.75
  6. Step 6: Final answer
    x = 2,756.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.