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Finding the Third Proportional to 294.26 and 632.60

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Solution

The third proportional to 294.26 and 632.60 is: 1,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.26 : 632.60 = 632.60 : x
  2. Step 2: Convert to fraction form
    294.26/632.60 = 632.60/x
  3. Step 3: Cross multiply
    294.26x = 632.60 × 632.60
  4. Step 4: Simplify right side
    294.26x = 400,184.74
  5. Step 5: Solve for x
    x = 400,184.74/294.26
  6. Step 6: Final answer
    x = 1,359.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.