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Finding the Third Proportional to 207,792 and 447,362.25

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Solution

The third proportional to 207,792 and 447,362.25 is: 963,140.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,792 : 447,362.25 = 447,362.25 : x
  2. Step 2: Convert to fraction form
    207,792/447,362.25 = 447,362.25/x
  3. Step 3: Cross multiply
    207,792x = 447,362.25 × 447,362.25
  4. Step 4: Simplify right side
    207,792x = 200,132,982,725.06
  5. Step 5: Solve for x
    x = 200,132,982,725.06/207,792
  6. Step 6: Final answer
    x = 963,140.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.