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Finding the Third Proportional to 228,028 and 527,836

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Solution

The third proportional to 228,028 and 527,836 is: 1,221,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,028 : 527,836 = 527,836 : x
  2. Step 2: Convert to fraction form
    228,028/527,836 = 527,836/x
  3. Step 3: Cross multiply
    228,028x = 527,836 × 527,836
  4. Step 4: Simplify right side
    228,028x = 278,610,842,896
  5. Step 5: Solve for x
    x = 278,610,842,896/228,028
  6. Step 6: Final answer
    x = 1,221,827.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.