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Finding the Third Proportional to 229,257 and 502,801

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Solution

The third proportional to 229,257 and 502,801 is: 1,102,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,257 : 502,801 = 502,801 : x
  2. Step 2: Convert to fraction form
    229,257/502,801 = 502,801/x
  3. Step 3: Cross multiply
    229,257x = 502,801 × 502,801
  4. Step 4: Simplify right side
    229,257x = 252,808,845,601
  5. Step 5: Solve for x
    x = 252,808,845,601/229,257
  6. Step 6: Final answer
    x = 1,102,731.20

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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.