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Finding the Third Proportional to 294.89 and 632.39

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Solution

The third proportional to 294.89 and 632.39 is: 1,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.89 : 632.39 = 632.39 : x
  2. Step 2: Convert to fraction form
    294.89/632.39 = 632.39/x
  3. Step 3: Cross multiply
    294.89x = 632.39 × 632.39
  4. Step 4: Simplify right side
    294.89x = 399,917.90
  5. Step 5: Solve for x
    x = 399,917.90/294.89
  6. Step 6: Final answer
    x = 1,356.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.