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Finding the Third Proportional to 207,392 and 427,680

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Solution

The third proportional to 207,392 and 427,680 is: 881,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,392 : 427,680 = 427,680 : x
  2. Step 2: Convert to fraction form
    207,392/427,680 = 427,680/x
  3. Step 3: Cross multiply
    207,392x = 427,680 × 427,680
  4. Step 4: Simplify right side
    207,392x = 182,910,182,400
  5. Step 5: Solve for x
    x = 182,910,182,400/207,392
  6. Step 6: Final answer
    x = 881,953.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.