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Finding the Third Proportional to 207,296 and 455,200

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Solution

The third proportional to 207,296 and 455,200 is: 999,570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,296 : 455,200 = 455,200 : x
  2. Step 2: Convert to fraction form
    207,296/455,200 = 455,200/x
  3. Step 3: Cross multiply
    207,296x = 455,200 × 455,200
  4. Step 4: Simplify right side
    207,296x = 207,207,040,000
  5. Step 5: Solve for x
    x = 207,207,040,000/207,296
  6. Step 6: Final answer
    x = 999,570.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.