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Finding the Third Proportional to 1,027.78 and 1,505.53

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Solution

The third proportional to 1,027.78 and 1,505.53 is: 2,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.78 : 1,505.53 = 1,505.53 : x
  2. Step 2: Convert to fraction form
    1,027.78/1,505.53 = 1,505.53/x
  3. Step 3: Cross multiply
    1,027.78x = 1,505.53 × 1,505.53
  4. Step 4: Simplify right side
    1,027.78x = 2,266,624.34
  5. Step 5: Solve for x
    x = 2,266,624.34/1,027.78
  6. Step 6: Final answer
    x = 2,205.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.