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Finding the Third Proportional to 376.84 and 841.01

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Solution

The third proportional to 376.84 and 841.01 is: 1,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.84 : 841.01 = 841.01 : x
  2. Step 2: Convert to fraction form
    376.84/841.01 = 841.01/x
  3. Step 3: Cross multiply
    376.84x = 841.01 × 841.01
  4. Step 4: Simplify right side
    376.84x = 707,294.14
  5. Step 5: Solve for x
    x = 707,294.14/376.84
  6. Step 6: Final answer
    x = 1,876.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.