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Finding the Third Proportional to 472.13 and 866.63

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Solution

The third proportional to 472.13 and 866.63 is: 1,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.13 : 866.63 = 866.63 : x
  2. Step 2: Convert to fraction form
    472.13/866.63 = 866.63/x
  3. Step 3: Cross multiply
    472.13x = 866.63 × 866.63
  4. Step 4: Simplify right side
    472.13x = 751,038.89
  5. Step 5: Solve for x
    x = 751,038.89/472.13
  6. Step 6: Final answer
    x = 1,590.76

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.