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Finding the Third Proportional to 226,804 and 497,024

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Solution

The third proportional to 226,804 and 497,024 is: 1,089,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,804 : 497,024 = 497,024 : x
  2. Step 2: Convert to fraction form
    226,804/497,024 = 497,024/x
  3. Step 3: Cross multiply
    226,804x = 497,024 × 497,024
  4. Step 4: Simplify right side
    226,804x = 247,032,856,576
  5. Step 5: Solve for x
    x = 247,032,856,576/226,804
  6. Step 6: Final answer
    x = 1,089,190.92

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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.