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Finding the Third Proportional to 346,183.88 and 523,908

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Solution

The third proportional to 346,183.88 and 523,908 is: 792,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,183.88 : 523,908 = 523,908 : x
  2. Step 2: Convert to fraction form
    346,183.88/523,908 = 523,908/x
  3. Step 3: Cross multiply
    346,183.88x = 523,908 × 523,908
  4. Step 4: Simplify right side
    346,183.88x = 274,479,592,464
  5. Step 5: Solve for x
    x = 274,479,592,464/346,183.88
  6. Step 6: Final answer
    x = 792,872.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.