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Finding the Third Proportional to 616,880.25 and 920,183.63

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Solution

The third proportional to 616,880.25 and 920,183.63 is: 1,372,613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,880.25 : 920,183.63 = 920,183.63 : x
  2. Step 2: Convert to fraction form
    616,880.25/920,183.63 = 920,183.63/x
  3. Step 3: Cross multiply
    616,880.25x = 920,183.63 × 920,183.63
  4. Step 4: Simplify right side
    616,880.25x = 846,737,903,718.14
  5. Step 5: Solve for x
    x = 846,737,903,718.14/616,880.25
  6. Step 6: Final answer
    x = 1,372,613.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.