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Finding the Third Proportional to 229,203 and 497,851

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Solution

The third proportional to 229,203 and 497,851 is: 1,081,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,203 : 497,851 = 497,851 : x
  2. Step 2: Convert to fraction form
    229,203/497,851 = 497,851/x
  3. Step 3: Cross multiply
    229,203x = 497,851 × 497,851
  4. Step 4: Simplify right side
    229,203x = 247,855,618,201
  5. Step 5: Solve for x
    x = 247,855,618,201/229,203
  6. Step 6: Final answer
    x = 1,081,380.34

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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.