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Finding the Third Proportional to 207,314 and 451,502

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Solution

The third proportional to 207,314 and 451,502 is: 983,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,314 : 451,502 = 451,502 : x
  2. Step 2: Convert to fraction form
    207,314/451,502 = 451,502/x
  3. Step 3: Cross multiply
    207,314x = 451,502 × 451,502
  4. Step 4: Simplify right side
    207,314x = 203,854,056,004
  5. Step 5: Solve for x
    x = 203,854,056,004/207,314
  6. Step 6: Final answer
    x = 983,310.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.