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Finding the Third Proportional to 228,422 and 363,753

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Solution

The third proportional to 228,422 and 363,753 is: 579,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,422 : 363,753 = 363,753 : x
  2. Step 2: Convert to fraction form
    228,422/363,753 = 363,753/x
  3. Step 3: Cross multiply
    228,422x = 363,753 × 363,753
  4. Step 4: Simplify right side
    228,422x = 132,316,245,009
  5. Step 5: Solve for x
    x = 132,316,245,009/228,422
  6. Step 6: Final answer
    x = 579,262.26

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.