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Finding the Third Proportional to 227,772 and 493,101

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Solution

The third proportional to 227,772 and 493,101 is: 1,067,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,772 : 493,101 = 493,101 : x
  2. Step 2: Convert to fraction form
    227,772/493,101 = 493,101/x
  3. Step 3: Cross multiply
    227,772x = 493,101 × 493,101
  4. Step 4: Simplify right side
    227,772x = 243,148,596,201
  5. Step 5: Solve for x
    x = 243,148,596,201/227,772
  6. Step 6: Final answer
    x = 1,067,508.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.