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Finding the Third Proportional to 462.56 and 692.06

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Solution

The third proportional to 462.56 and 692.06 is: 1,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.56 : 692.06 = 692.06 : x
  2. Step 2: Convert to fraction form
    462.56/692.06 = 692.06/x
  3. Step 3: Cross multiply
    462.56x = 692.06 × 692.06
  4. Step 4: Simplify right side
    462.56x = 478,950.50
  5. Step 5: Solve for x
    x = 478,950.50/462.56
  6. Step 6: Final answer
    x = 1,035.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.