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Finding the Third Proportional to 598.88 and 876.94

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Solution

The third proportional to 598.88 and 876.94 is: 1,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.88 : 876.94 = 876.94 : x
  2. Step 2: Convert to fraction form
    598.88/876.94 = 876.94/x
  3. Step 3: Cross multiply
    598.88x = 876.94 × 876.94
  4. Step 4: Simplify right side
    598.88x = 769,019.38
  5. Step 5: Solve for x
    x = 769,019.38/598.88
  6. Step 6: Final answer
    x = 1,284.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.