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Finding the Third Proportional to 357.84 and 632.44

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Solution

The third proportional to 357.84 and 632.44 is: 1,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.84 : 632.44 = 632.44 : x
  2. Step 2: Convert to fraction form
    357.84/632.44 = 632.44/x
  3. Step 3: Cross multiply
    357.84x = 632.44 × 632.44
  4. Step 4: Simplify right side
    357.84x = 399,977.19
  5. Step 5: Solve for x
    x = 399,977.19/357.84
  6. Step 6: Final answer
    x = 1,117.74

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.