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Finding the Third Proportional to 387.75 and 632.63

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Solution

The third proportional to 387.75 and 632.63 is: 1,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.75 : 632.63 = 632.63 : x
  2. Step 2: Convert to fraction form
    387.75/632.63 = 632.63/x
  3. Step 3: Cross multiply
    387.75x = 632.63 × 632.63
  4. Step 4: Simplify right side
    387.75x = 400,214.39
  5. Step 5: Solve for x
    x = 400,214.39/387.75
  6. Step 6: Final answer
    x = 1,032.15

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.