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Finding the Third Proportional to 296.02 and 632.60

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Solution

The third proportional to 296.02 and 632.60 is: 1,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.02 : 632.60 = 632.60 : x
  2. Step 2: Convert to fraction form
    296.02/632.60 = 632.60/x
  3. Step 3: Cross multiply
    296.02x = 632.60 × 632.60
  4. Step 4: Simplify right side
    296.02x = 400,184.74
  5. Step 5: Solve for x
    x = 400,184.74/296.02
  6. Step 6: Final answer
    x = 1,351.90

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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.