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Finding the Third Proportional to 207,963 and 314,880

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Solution

The third proportional to 207,963 and 314,880 is: 476,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,963 : 314,880 = 314,880 : x
  2. Step 2: Convert to fraction form
    207,963/314,880 = 314,880/x
  3. Step 3: Cross multiply
    207,963x = 314,880 × 314,880
  4. Step 4: Simplify right side
    207,963x = 99,149,414,400
  5. Step 5: Solve for x
    x = 99,149,414,400/207,963
  6. Step 6: Final answer
    x = 476,764.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.