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Finding the Third Proportional to 704.88 and 1,001.81

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Solution

The third proportional to 704.88 and 1,001.81 is: 1,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.88 : 1,001.81 = 1,001.81 : x
  2. Step 2: Convert to fraction form
    704.88/1,001.81 = 1,001.81/x
  3. Step 3: Cross multiply
    704.88x = 1,001.81 × 1,001.81
  4. Step 4: Simplify right side
    704.88x = 1,003,628.29
  5. Step 5: Solve for x
    x = 1,003,628.29/704.88
  6. Step 6: Final answer
    x = 1,423.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.