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Finding the Third Proportional to 746.81 and 1,475.25

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Solution

The third proportional to 746.81 and 1,475.25 is: 2,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.81 : 1,475.25 = 1,475.25 : x
  2. Step 2: Convert to fraction form
    746.81/1,475.25 = 1,475.25/x
  3. Step 3: Cross multiply
    746.81x = 1,475.25 × 1,475.25
  4. Step 4: Simplify right side
    746.81x = 2,176,362.56
  5. Step 5: Solve for x
    x = 2,176,362.56/746.81
  6. Step 6: Final answer
    x = 2,914.20

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.