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Finding the Third Proportional to 264,400 and 550,688

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Solution

The third proportional to 264,400 and 550,688 is: 1,146,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,400 : 550,688 = 550,688 : x
  2. Step 2: Convert to fraction form
    264,400/550,688 = 550,688/x
  3. Step 3: Cross multiply
    264,400x = 550,688 × 550,688
  4. Step 4: Simplify right side
    264,400x = 303,257,273,344
  5. Step 5: Solve for x
    x = 303,257,273,344/264,400
  6. Step 6: Final answer
    x = 1,146,963.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.