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Finding the Third Proportional to 209,037 and 451,614

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Solution

The third proportional to 209,037 and 451,614 is: 975,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,037 : 451,614 = 451,614 : x
  2. Step 2: Convert to fraction form
    209,037/451,614 = 451,614/x
  3. Step 3: Cross multiply
    209,037x = 451,614 × 451,614
  4. Step 4: Simplify right side
    209,037x = 203,955,204,996
  5. Step 5: Solve for x
    x = 203,955,204,996/209,037
  6. Step 6: Final answer
    x = 975,689.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.