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Finding the Third Proportional to 472.53 and 661.06

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Solution

The third proportional to 472.53 and 661.06 is: 924.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.53 : 661.06 = 661.06 : x
  2. Step 2: Convert to fraction form
    472.53/661.06 = 661.06/x
  3. Step 3: Cross multiply
    472.53x = 661.06 × 661.06
  4. Step 4: Simplify right side
    472.53x = 437,003.63
  5. Step 5: Solve for x
    x = 437,003.63/472.53
  6. Step 6: Final answer
    x = 924.81

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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.