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Finding the Third Proportional to 417.33 and 596.39

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Solution

The third proportional to 417.33 and 596.39 is: 852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.33 : 596.39 = 596.39 : x
  2. Step 2: Convert to fraction form
    417.33/596.39 = 596.39/x
  3. Step 3: Cross multiply
    417.33x = 596.39 × 596.39
  4. Step 4: Simplify right side
    417.33x = 355,681.78
  5. Step 5: Solve for x
    x = 355,681.78/417.33
  6. Step 6: Final answer
    x = 852.28

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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.