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Finding the Third Proportional to 417.56 and 596.63

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Solution

The third proportional to 417.56 and 596.63 is: 852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.56 : 596.63 = 596.63 : x
  2. Step 2: Convert to fraction form
    417.56/596.63 = 596.63/x
  3. Step 3: Cross multiply
    417.56x = 596.63 × 596.63
  4. Step 4: Simplify right side
    417.56x = 355,961.39
  5. Step 5: Solve for x
    x = 355,961.39/417.56
  6. Step 6: Final answer
    x = 852.47

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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.