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Finding the Third Proportional to 207,918 and 452,280

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Solution

The third proportional to 207,918 and 452,280 is: 983,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,918 : 452,280 = 452,280 : x
  2. Step 2: Convert to fraction form
    207,918/452,280 = 452,280/x
  3. Step 3: Cross multiply
    207,918x = 452,280 × 452,280
  4. Step 4: Simplify right side
    207,918x = 204,557,198,400
  5. Step 5: Solve for x
    x = 204,557,198,400/207,918
  6. Step 6: Final answer
    x = 983,835.93

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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.