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Finding the Third Proportional to 471.05 and 692.93

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Solution

The third proportional to 471.05 and 692.93 is: 1,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.05 : 692.93 = 692.93 : x
  2. Step 2: Convert to fraction form
    471.05/692.93 = 692.93/x
  3. Step 3: Cross multiply
    471.05x = 692.93 × 692.93
  4. Step 4: Simplify right side
    471.05x = 480,151.55
  5. Step 5: Solve for x
    x = 480,151.55/471.05
  6. Step 6: Final answer
    x = 1,019.32

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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.