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Finding the Third Proportional to 597.25 and 933.38

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Solution

The third proportional to 597.25 and 933.38 is: 1,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.25 : 933.38 = 933.38 : x
  2. Step 2: Convert to fraction form
    597.25/933.38 = 933.38/x
  3. Step 3: Cross multiply
    597.25x = 933.38 × 933.38
  4. Step 4: Simplify right side
    597.25x = 871,188.89
  5. Step 5: Solve for x
    x = 871,188.89/597.25
  6. Step 6: Final answer
    x = 1,458.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.