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Finding the Third Proportional to 352,586 and 514,110

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Solution

The third proportional to 352,586 and 514,110 is: 749,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,586 : 514,110 = 514,110 : x
  2. Step 2: Convert to fraction form
    352,586/514,110 = 514,110/x
  3. Step 3: Cross multiply
    352,586x = 514,110 × 514,110
  4. Step 4: Simplify right side
    352,586x = 264,309,092,100
  5. Step 5: Solve for x
    x = 264,309,092,100/352,586
  6. Step 6: Final answer
    x = 749,630.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.