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Finding the Third Proportional to 398 and 651.50

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Solution

The third proportional to 398 and 651.50 is: 1,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398 : 651.50 = 651.50 : x
  2. Step 2: Convert to fraction form
    398/651.50 = 651.50/x
  3. Step 3: Cross multiply
    398x = 651.50 × 651.50
  4. Step 4: Simplify right side
    398x = 424,452.25
  5. Step 5: Solve for x
    x = 424,452.25/398
  6. Step 6: Final answer
    x = 1,066.46

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.