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Finding the Third Proportional to 229,138 and 503,413

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Solution

The third proportional to 229,138 and 503,413 is: 1,105,991.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,138 : 503,413 = 503,413 : x
  2. Step 2: Convert to fraction form
    229,138/503,413 = 503,413/x
  3. Step 3: Cross multiply
    229,138x = 503,413 × 503,413
  4. Step 4: Simplify right side
    229,138x = 253,424,648,569
  5. Step 5: Solve for x
    x = 253,424,648,569/229,138
  6. Step 6: Final answer
    x = 1,105,991.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.