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Finding the Third Proportional to 226,592 and 497,788

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Solution

The third proportional to 226,592 and 497,788 is: 1,093,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,592 : 497,788 = 497,788 : x
  2. Step 2: Convert to fraction form
    226,592/497,788 = 497,788/x
  3. Step 3: Cross multiply
    226,592x = 497,788 × 497,788
  4. Step 4: Simplify right side
    226,592x = 247,792,892,944
  5. Step 5: Solve for x
    x = 247,792,892,944/226,592
  6. Step 6: Final answer
    x = 1,093,564.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.