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Finding the Third Proportional to 207,838 and 452,068

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Solution

The third proportional to 207,838 and 452,068 is: 983,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,838 : 452,068 = 452,068 : x
  2. Step 2: Convert to fraction form
    207,838/452,068 = 452,068/x
  3. Step 3: Cross multiply
    207,838x = 452,068 × 452,068
  4. Step 4: Simplify right side
    207,838x = 204,365,476,624
  5. Step 5: Solve for x
    x = 204,365,476,624/207,838
  6. Step 6: Final answer
    x = 983,292.16

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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.