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Finding the Third Proportional to 313.88 and 472.50

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Solution

The third proportional to 313.88 and 472.50 is: 711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.88 : 472.50 = 472.50 : x
  2. Step 2: Convert to fraction form
    313.88/472.50 = 472.50/x
  3. Step 3: Cross multiply
    313.88x = 472.50 × 472.50
  4. Step 4: Simplify right side
    313.88x = 223,256.25
  5. Step 5: Solve for x
    x = 223,256.25/313.88
  6. Step 6: Final answer
    x = 711.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.