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Finding the Third Proportional to 406.13 and 643.13

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Solution

The third proportional to 406.13 and 643.13 is: 1,018.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.13 : 643.13 = 643.13 : x
  2. Step 2: Convert to fraction form
    406.13/643.13 = 643.13/x
  3. Step 3: Cross multiply
    406.13x = 643.13 × 643.13
  4. Step 4: Simplify right side
    406.13x = 413,609.77
  5. Step 5: Solve for x
    x = 413,609.77/406.13
  6. Step 6: Final answer
    x = 1,018.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.