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Finding the Third Proportional to 201,792 and 438,576

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Solution

The third proportional to 201,792 and 438,576 is: 953,203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,792 : 438,576 = 438,576 : x
  2. Step 2: Convert to fraction form
    201,792/438,576 = 438,576/x
  3. Step 3: Cross multiply
    201,792x = 438,576 × 438,576
  4. Step 4: Simplify right side
    201,792x = 192,348,907,776
  5. Step 5: Solve for x
    x = 192,348,907,776/201,792
  6. Step 6: Final answer
    x = 953,203.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.