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Finding the Third Proportional to 505.62 and 1,025.47

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Solution

The third proportional to 505.62 and 1,025.47 is: 2,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.62 : 1,025.47 = 1,025.47 : x
  2. Step 2: Convert to fraction form
    505.62/1,025.47 = 1,025.47/x
  3. Step 3: Cross multiply
    505.62x = 1,025.47 × 1,025.47
  4. Step 4: Simplify right side
    505.62x = 1,051,594.17
  5. Step 5: Solve for x
    x = 1,051,594.17/505.62
  6. Step 6: Final answer
    x = 2,079.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.