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Finding the Third Proportional to 403.73 and 841.64

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Solution

The third proportional to 403.73 and 841.64 is: 1,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.73 : 841.64 = 841.64 : x
  2. Step 2: Convert to fraction form
    403.73/841.64 = 841.64/x
  3. Step 3: Cross multiply
    403.73x = 841.64 × 841.64
  4. Step 4: Simplify right side
    403.73x = 708,358.94
  5. Step 5: Solve for x
    x = 708,358.94/403.73
  6. Step 6: Final answer
    x = 1,754.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.