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Finding the Third Proportional to 597.75 and 893.38

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Solution

The third proportional to 597.75 and 893.38 is: 1,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.75 : 893.38 = 893.38 : x
  2. Step 2: Convert to fraction form
    597.75/893.38 = 893.38/x
  3. Step 3: Cross multiply
    597.75x = 893.38 × 893.38
  4. Step 4: Simplify right side
    597.75x = 798,118.89
  5. Step 5: Solve for x
    x = 798,118.89/597.75
  6. Step 6: Final answer
    x = 1,335.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.