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Finding the Third Proportional to 613 and 974.50

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Solution

The third proportional to 613 and 974.50 is: 1,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    613 : 974.50 = 974.50 : x
  2. Step 2: Convert to fraction form
    613/974.50 = 974.50/x
  3. Step 3: Cross multiply
    613x = 974.50 × 974.50
  4. Step 4: Simplify right side
    613x = 949,650.25
  5. Step 5: Solve for x
    x = 949,650.25/613
  6. Step 6: Final answer
    x = 1,549.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.