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Finding the Third Proportional to 296.06 and 601.88

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Solution

The third proportional to 296.06 and 601.88 is: 1,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.06 : 601.88 = 601.88 : x
  2. Step 2: Convert to fraction form
    296.06/601.88 = 601.88/x
  3. Step 3: Cross multiply
    296.06x = 601.88 × 601.88
  4. Step 4: Simplify right side
    296.06x = 362,253.52
  5. Step 5: Solve for x
    x = 362,253.52/296.06
  6. Step 6: Final answer
    x = 1,223.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.