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Finding the Third Proportional to 598.22 and 873.70

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Solution

The third proportional to 598.22 and 873.70 is: 1,276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.22 : 873.70 = 873.70 : x
  2. Step 2: Convert to fraction form
    598.22/873.70 = 873.70/x
  3. Step 3: Cross multiply
    598.22x = 873.70 × 873.70
  4. Step 4: Simplify right side
    598.22x = 763,357.15
  5. Step 5: Solve for x
    x = 763,357.15/598.22
  6. Step 6: Final answer
    x = 1,276.05

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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.