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Finding the Third Proportional to 598.81 and 874.94

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Solution

The third proportional to 598.81 and 874.94 is: 1,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.81 : 874.94 = 874.94 : x
  2. Step 2: Convert to fraction form
    598.81/874.94 = 874.94/x
  3. Step 3: Cross multiply
    598.81x = 874.94 × 874.94
  4. Step 4: Simplify right side
    598.81x = 765,515.63
  5. Step 5: Solve for x
    x = 765,515.63/598.81
  6. Step 6: Final answer
    x = 1,278.39

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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.