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Finding the Third Proportional to 751.78 and 1,298.53

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Solution

The third proportional to 751.78 and 1,298.53 is: 2,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.78 : 1,298.53 = 1,298.53 : x
  2. Step 2: Convert to fraction form
    751.78/1,298.53 = 1,298.53/x
  3. Step 3: Cross multiply
    751.78x = 1,298.53 × 1,298.53
  4. Step 4: Simplify right side
    751.78x = 1,686,183.41
  5. Step 5: Solve for x
    x = 1,686,183.41/751.78
  6. Step 6: Final answer
    x = 2,242.92

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.