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Finding the Third Proportional to 307.13 and 471.63

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Solution

The third proportional to 307.13 and 471.63 is: 724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.13 : 471.63 = 471.63 : x
  2. Step 2: Convert to fraction form
    307.13/471.63 = 471.63/x
  3. Step 3: Cross multiply
    307.13x = 471.63 × 471.63
  4. Step 4: Simplify right side
    307.13x = 222,430.14
  5. Step 5: Solve for x
    x = 222,430.14/307.13
  6. Step 6: Final answer
    x = 724.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.