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Finding the Third Proportional to 443.75 and 964.91

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Solution

The third proportional to 443.75 and 964.91 is: 2,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.75 : 964.91 = 964.91 : x
  2. Step 2: Convert to fraction form
    443.75/964.91 = 964.91/x
  3. Step 3: Cross multiply
    443.75x = 964.91 × 964.91
  4. Step 4: Simplify right side
    443.75x = 931,044.07
  5. Step 5: Solve for x
    x = 931,044.07/443.75
  6. Step 6: Final answer
    x = 2,098.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.