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Finding the Third Proportional to 746.25 and 1,588.50

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Solution

The third proportional to 746.25 and 1,588.50 is: 3,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.25 : 1,588.50 = 1,588.50 : x
  2. Step 2: Convert to fraction form
    746.25/1,588.50 = 1,588.50/x
  3. Step 3: Cross multiply
    746.25x = 1,588.50 × 1,588.50
  4. Step 4: Simplify right side
    746.25x = 2,523,332.25
  5. Step 5: Solve for x
    x = 2,523,332.25/746.25
  6. Step 6: Final answer
    x = 3,381.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.