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Finding the Third Proportional to 377.06 and 510.94

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Solution

The third proportional to 377.06 and 510.94 is: 692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.06 : 510.94 = 510.94 : x
  2. Step 2: Convert to fraction form
    377.06/510.94 = 510.94/x
  3. Step 3: Cross multiply
    377.06x = 510.94 × 510.94
  4. Step 4: Simplify right side
    377.06x = 261,057.13
  5. Step 5: Solve for x
    x = 261,057.13/377.06
  6. Step 6: Final answer
    x = 692.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.