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Finding the Third Proportional to 207,504 and 452,700

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Solution

The third proportional to 207,504 and 452,700 is: 987,630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,504 : 452,700 = 452,700 : x
  2. Step 2: Convert to fraction form
    207,504/452,700 = 452,700/x
  3. Step 3: Cross multiply
    207,504x = 452,700 × 452,700
  4. Step 4: Simplify right side
    207,504x = 204,937,290,000
  5. Step 5: Solve for x
    x = 204,937,290,000/207,504
  6. Step 6: Final answer
    x = 987,630.55

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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.