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Finding the Third Proportional to 632.65 and 950.64

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Solution

The third proportional to 632.65 and 950.64 is: 1,428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.65 : 950.64 = 950.64 : x
  2. Step 2: Convert to fraction form
    632.65/950.64 = 950.64/x
  3. Step 3: Cross multiply
    632.65x = 950.64 × 950.64
  4. Step 4: Simplify right side
    632.65x = 903,721.31
  5. Step 5: Solve for x
    x = 903,721.31/632.65
  6. Step 6: Final answer
    x = 1,428.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.