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Finding the Third Proportional to 282,582 and 396,038

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Solution

The third proportional to 282,582 and 396,038 is: 555,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,582 : 396,038 = 396,038 : x
  2. Step 2: Convert to fraction form
    282,582/396,038 = 396,038/x
  3. Step 3: Cross multiply
    282,582x = 396,038 × 396,038
  4. Step 4: Simplify right side
    282,582x = 156,846,097,444
  5. Step 5: Solve for x
    x = 156,846,097,444/282,582
  6. Step 6: Final answer
    x = 555,046.31

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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.