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Finding the Third Proportional to 472.13 and 661.69

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Solution

The third proportional to 472.13 and 661.69 is: 927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.13 : 661.69 = 661.69 : x
  2. Step 2: Convert to fraction form
    472.13/661.69 = 661.69/x
  3. Step 3: Cross multiply
    472.13x = 661.69 × 661.69
  4. Step 4: Simplify right side
    472.13x = 437,830.35
  5. Step 5: Solve for x
    x = 437,830.35/472.13
  6. Step 6: Final answer
    x = 927.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.