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Finding the Third Proportional to 472.92 and 770.13

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Solution

The third proportional to 472.92 and 770.13 is: 1,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.92 : 770.13 = 770.13 : x
  2. Step 2: Convert to fraction form
    472.92/770.13 = 770.13/x
  3. Step 3: Cross multiply
    472.92x = 770.13 × 770.13
  4. Step 4: Simplify right side
    472.92x = 593,104.55
  5. Step 5: Solve for x
    x = 593,104.55/472.92
  6. Step 6: Final answer
    x = 1,254.13

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.