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Finding the Third Proportional to 352,435 and 527,113

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Solution

The third proportional to 352,435 and 527,113 is: 788,366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,435 : 527,113 = 527,113 : x
  2. Step 2: Convert to fraction form
    352,435/527,113 = 527,113/x
  3. Step 3: Cross multiply
    352,435x = 527,113 × 527,113
  4. Step 4: Simplify right side
    352,435x = 277,848,114,769
  5. Step 5: Solve for x
    x = 277,848,114,769/352,435
  6. Step 6: Final answer
    x = 788,366.97

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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.