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Finding the Third Proportional to 598.50 and 1,299.63

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Solution

The third proportional to 598.50 and 1,299.63 is: 2,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.50 : 1,299.63 = 1,299.63 : x
  2. Step 2: Convert to fraction form
    598.50/1,299.63 = 1,299.63/x
  3. Step 3: Cross multiply
    598.50x = 1,299.63 × 1,299.63
  4. Step 4: Simplify right side
    598.50x = 1,689,025.14
  5. Step 5: Solve for x
    x = 1,689,025.14/598.50
  6. Step 6: Final answer
    x = 2,822.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.