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Finding the Third Proportional to 505.75 and 1,078.50

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Solution

The third proportional to 505.75 and 1,078.50 is: 2,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.75 : 1,078.50 = 1,078.50 : x
  2. Step 2: Convert to fraction form
    505.75/1,078.50 = 1,078.50/x
  3. Step 3: Cross multiply
    505.75x = 1,078.50 × 1,078.50
  4. Step 4: Simplify right side
    505.75x = 1,163,162.25
  5. Step 5: Solve for x
    x = 1,163,162.25/505.75
  6. Step 6: Final answer
    x = 2,299.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.