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Finding the Third Proportional to 268,758 and 376,704

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Solution

The third proportional to 268,758 and 376,704 is: 528,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,758 : 376,704 = 376,704 : x
  2. Step 2: Convert to fraction form
    268,758/376,704 = 376,704/x
  3. Step 3: Cross multiply
    268,758x = 376,704 × 376,704
  4. Step 4: Simplify right side
    268,758x = 141,905,903,616
  5. Step 5: Solve for x
    x = 141,905,903,616/268,758
  6. Step 6: Final answer
    x = 528,006.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.