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Finding the Third Proportional to 207,643.50 and 451,737

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Solution

The third proportional to 207,643.50 and 451,737 is: 982,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,643.50 : 451,737 = 451,737 : x
  2. Step 2: Convert to fraction form
    207,643.50/451,737 = 451,737/x
  3. Step 3: Cross multiply
    207,643.50x = 451,737 × 451,737
  4. Step 4: Simplify right side
    207,643.50x = 204,066,317,169
  5. Step 5: Solve for x
    x = 204,066,317,169/207,643.50
  6. Step 6: Final answer
    x = 982,772.48

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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.