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Finding the Third Proportional to 507.83 and 752.73

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Solution

The third proportional to 507.83 and 752.73 is: 1,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.83 : 752.73 = 752.73 : x
  2. Step 2: Convert to fraction form
    507.83/752.73 = 752.73/x
  3. Step 3: Cross multiply
    507.83x = 752.73 × 752.73
  4. Step 4: Simplify right side
    507.83x = 566,603.16
  5. Step 5: Solve for x
    x = 566,603.16/507.83
  6. Step 6: Final answer
    x = 1,115.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.