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Finding the Third Proportional to 352,437 and 527,116

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Solution

The third proportional to 352,437 and 527,116 is: 788,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,437 : 527,116 = 527,116 : x
  2. Step 2: Convert to fraction form
    352,437/527,116 = 527,116/x
  3. Step 3: Cross multiply
    352,437x = 527,116 × 527,116
  4. Step 4: Simplify right side
    352,437x = 277,851,277,456
  5. Step 5: Solve for x
    x = 277,851,277,456/352,437
  6. Step 6: Final answer
    x = 788,371.47

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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.