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Finding the Third Proportional to 229,072 and 498,802

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Solution

The third proportional to 229,072 and 498,802 is: 1,086,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,072 : 498,802 = 498,802 : x
  2. Step 2: Convert to fraction form
    229,072/498,802 = 498,802/x
  3. Step 3: Cross multiply
    229,072x = 498,802 × 498,802
  4. Step 4: Simplify right side
    229,072x = 248,803,435,204
  5. Step 5: Solve for x
    x = 248,803,435,204/229,072
  6. Step 6: Final answer
    x = 1,086,136.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.