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Finding the Third Proportional to 841.64 and 1,204.73

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Solution

The third proportional to 841.64 and 1,204.73 is: 1,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.64 : 1,204.73 = 1,204.73 : x
  2. Step 2: Convert to fraction form
    841.64/1,204.73 = 1,204.73/x
  3. Step 3: Cross multiply
    841.64x = 1,204.73 × 1,204.73
  4. Step 4: Simplify right side
    841.64x = 1,451,384.91
  5. Step 5: Solve for x
    x = 1,451,384.91/841.64
  6. Step 6: Final answer
    x = 1,724.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.