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Finding the Third Proportional to 226,791 and 492,214.50

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Solution

The third proportional to 226,791 and 492,214.50 is: 1,068,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,791 : 492,214.50 = 492,214.50 : x
  2. Step 2: Convert to fraction form
    226,791/492,214.50 = 492,214.50/x
  3. Step 3: Cross multiply
    226,791x = 492,214.50 × 492,214.50
  4. Step 4: Simplify right side
    226,791x = 242,275,114,010.25
  5. Step 5: Solve for x
    x = 242,275,114,010.25/226,791
  6. Step 6: Final answer
    x = 1,068,274.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.