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Finding the Third Proportional to 352,433 and 527,110

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Solution

The third proportional to 352,433 and 527,110 is: 788,362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,433 : 527,110 = 527,110 : x
  2. Step 2: Convert to fraction form
    352,433/527,110 = 527,110/x
  3. Step 3: Cross multiply
    352,433x = 527,110 × 527,110
  4. Step 4: Simplify right side
    352,433x = 277,844,952,100
  5. Step 5: Solve for x
    x = 277,844,952,100/352,433
  6. Step 6: Final answer
    x = 788,362.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.