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Finding the Third Proportional to 207,370 and 451,614

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Solution

The third proportional to 207,370 and 451,614 is: 983,532.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,370 : 451,614 = 451,614 : x
  2. Step 2: Convert to fraction form
    207,370/451,614 = 451,614/x
  3. Step 3: Cross multiply
    207,370x = 451,614 × 451,614
  4. Step 4: Simplify right side
    207,370x = 203,955,204,996
  5. Step 5: Solve for x
    x = 203,955,204,996/207,370
  6. Step 6: Final answer
    x = 983,532.84

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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.