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Finding the Third Proportional to 407.21 and 593.10

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Solution

The third proportional to 407.21 and 593.10 is: 863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.21 : 593.10 = 593.10 : x
  2. Step 2: Convert to fraction form
    407.21/593.10 = 593.10/x
  3. Step 3: Cross multiply
    407.21x = 593.10 × 593.10
  4. Step 4: Simplify right side
    407.21x = 351,771.78
  5. Step 5: Solve for x
    x = 351,771.78/407.21
  6. Step 6: Final answer
    x = 863.85

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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.