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Finding the Third Proportional to 282,592 and 396,052

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Solution

The third proportional to 282,592 and 396,052 is: 555,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,592 : 396,052 = 396,052 : x
  2. Step 2: Convert to fraction form
    282,592/396,052 = 396,052/x
  3. Step 3: Cross multiply
    282,592x = 396,052 × 396,052
  4. Step 4: Simplify right side
    282,592x = 156,857,186,704
  5. Step 5: Solve for x
    x = 156,857,186,704/282,592
  6. Step 6: Final answer
    x = 555,065.91

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.