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Finding the Third Proportional to 461.13 and 692.19

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Solution

The third proportional to 461.13 and 692.19 is: 1,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.13 : 692.19 = 692.19 : x
  2. Step 2: Convert to fraction form
    461.13/692.19 = 692.19/x
  3. Step 3: Cross multiply
    461.13x = 692.19 × 692.19
  4. Step 4: Simplify right side
    461.13x = 479,123.54
  5. Step 5: Solve for x
    x = 479,123.54/461.13
  6. Step 6: Final answer
    x = 1,039.03

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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.