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Finding the Third Proportional to 393,441.75 and 597,855.38

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Solution

The third proportional to 393,441.75 and 597,855.38 is: 908,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,441.75 : 597,855.38 = 597,855.38 : x
  2. Step 2: Convert to fraction form
    393,441.75/597,855.38 = 597,855.38/x
  3. Step 3: Cross multiply
    393,441.75x = 597,855.38 × 597,855.38
  4. Step 4: Simplify right side
    393,441.75x = 357,431,049,416.39
  5. Step 5: Solve for x
    x = 357,431,049,416.39/393,441.75
  6. Step 6: Final answer
    x = 908,472.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.