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Finding the Third Proportional to 226,836 and 497,088

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Solution

The third proportional to 226,836 and 497,088 is: 1,089,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,836 : 497,088 = 497,088 : x
  2. Step 2: Convert to fraction form
    226,836/497,088 = 497,088/x
  3. Step 3: Cross multiply
    226,836x = 497,088 × 497,088
  4. Step 4: Simplify right side
    226,836x = 247,096,479,744
  5. Step 5: Solve for x
    x = 247,096,479,744/226,836
  6. Step 6: Final answer
    x = 1,089,317.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.