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Finding the Third Proportional to 257,493 and 377,022

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Solution

The third proportional to 257,493 and 377,022 is: 552,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,493 : 377,022 = 377,022 : x
  2. Step 2: Convert to fraction form
    257,493/377,022 = 377,022/x
  3. Step 3: Cross multiply
    257,493x = 377,022 × 377,022
  4. Step 4: Simplify right side
    257,493x = 142,145,588,484
  5. Step 5: Solve for x
    x = 142,145,588,484/257,493
  6. Step 6: Final answer
    x = 552,036.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.