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Finding the Third Proportional to 272,382 and 422,739

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Solution

The third proportional to 272,382 and 422,739 is: 656,094.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,382 : 422,739 = 422,739 : x
  2. Step 2: Convert to fraction form
    272,382/422,739 = 422,739/x
  3. Step 3: Cross multiply
    272,382x = 422,739 × 422,739
  4. Step 4: Simplify right side
    272,382x = 178,708,262,121
  5. Step 5: Solve for x
    x = 178,708,262,121/272,382
  6. Step 6: Final answer
    x = 656,094.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.