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Finding the Third Proportional to 400 and 750

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Solution

The third proportional to 400 and 750 is: 1,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400 : 750 = 750 : x
  2. Step 2: Convert to fraction form
    400/750 = 750/x
  3. Step 3: Cross multiply
    400x = 750 × 750
  4. Step 4: Simplify right side
    400x = 562,500
  5. Step 5: Solve for x
    x = 562,500/400
  6. Step 6: Final answer
    x = 1,406.25

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.