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Finding the Third Proportional to 415.05 and 593.02

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Solution

The third proportional to 415.05 and 593.02 is: 847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.05 : 593.02 = 593.02 : x
  2. Step 2: Convert to fraction form
    415.05/593.02 = 593.02/x
  3. Step 3: Cross multiply
    415.05x = 593.02 × 593.02
  4. Step 4: Simplify right side
    415.05x = 351,677.96
  5. Step 5: Solve for x
    x = 351,677.96/415.05
  6. Step 6: Final answer
    x = 847.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.