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Finding the Third Proportional to 229,257 and 498,042

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Solution

The third proportional to 229,257 and 498,042 is: 1,081,955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,257 : 498,042 = 498,042 : x
  2. Step 2: Convert to fraction form
    229,257/498,042 = 498,042/x
  3. Step 3: Cross multiply
    229,257x = 498,042 × 498,042
  4. Step 4: Simplify right side
    229,257x = 248,045,833,764
  5. Step 5: Solve for x
    x = 248,045,833,764/229,257
  6. Step 6: Final answer
    x = 1,081,955.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.