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Finding the Third Proportional to 342,768 and 738,156

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Solution

The third proportional to 342,768 and 738,156 is: 1,589,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,768 : 738,156 = 738,156 : x
  2. Step 2: Convert to fraction form
    342,768/738,156 = 738,156/x
  3. Step 3: Cross multiply
    342,768x = 738,156 × 738,156
  4. Step 4: Simplify right side
    342,768x = 544,874,280,336
  5. Step 5: Solve for x
    x = 544,874,280,336/342,768
  6. Step 6: Final answer
    x = 1,589,629.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.