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Finding the Third Proportional to 400.13 and 857.63

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Solution

The third proportional to 400.13 and 857.63 is: 1,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.13 : 857.63 = 857.63 : x
  2. Step 2: Convert to fraction form
    400.13/857.63 = 857.63/x
  3. Step 3: Cross multiply
    400.13x = 857.63 × 857.63
  4. Step 4: Simplify right side
    400.13x = 735,520.64
  5. Step 5: Solve for x
    x = 735,520.64/400.13
  6. Step 6: Final answer
    x = 1,838.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.