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Finding the Third Proportional to 242,028 and 527,256

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Solution

The third proportional to 242,028 and 527,256 is: 1,148,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,028 : 527,256 = 527,256 : x
  2. Step 2: Convert to fraction form
    242,028/527,256 = 527,256/x
  3. Step 3: Cross multiply
    242,028x = 527,256 × 527,256
  4. Step 4: Simplify right side
    242,028x = 277,998,889,536
  5. Step 5: Solve for x
    x = 277,998,889,536/242,028
  6. Step 6: Final answer
    x = 1,148,622.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.