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Finding the Third Proportional to 226,296 and 497,772

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Solution

The third proportional to 226,296 and 497,772 is: 1,094,924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,296 : 497,772 = 497,772 : x
  2. Step 2: Convert to fraction form
    226,296/497,772 = 497,772/x
  3. Step 3: Cross multiply
    226,296x = 497,772 × 497,772
  4. Step 4: Simplify right side
    226,296x = 247,776,963,984
  5. Step 5: Solve for x
    x = 247,776,963,984/226,296
  6. Step 6: Final answer
    x = 1,094,924.19

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Why These Related Problems?

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