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Finding the Third Proportional to 472.69 and 692.53

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Solution

The third proportional to 472.69 and 692.53 is: 1,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.69 : 692.53 = 692.53 : x
  2. Step 2: Convert to fraction form
    472.69/692.53 = 692.53/x
  3. Step 3: Cross multiply
    472.69x = 692.53 × 692.53
  4. Step 4: Simplify right side
    472.69x = 479,599.53
  5. Step 5: Solve for x
    x = 479,599.53/472.69
  6. Step 6: Final answer
    x = 1,014.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.