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Finding the Third Proportional to 236,737 and 508,610

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Solution

The third proportional to 236,737 and 508,610 is: 1,092,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,737 : 508,610 = 508,610 : x
  2. Step 2: Convert to fraction form
    236,737/508,610 = 508,610/x
  3. Step 3: Cross multiply
    236,737x = 508,610 × 508,610
  4. Step 4: Simplify right side
    236,737x = 258,684,132,100
  5. Step 5: Solve for x
    x = 258,684,132,100/236,737
  6. Step 6: Final answer
    x = 1,092,706.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.