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Finding the Third Proportional to 236,744 and 508,624

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Solution

The third proportional to 236,744 and 508,624 is: 1,092,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,744 : 508,624 = 508,624 : x
  2. Step 2: Convert to fraction form
    236,744/508,624 = 508,624/x
  3. Step 3: Cross multiply
    236,744x = 508,624 × 508,624
  4. Step 4: Simplify right side
    236,744x = 258,698,373,376
  5. Step 5: Solve for x
    x = 258,698,373,376/236,744
  6. Step 6: Final answer
    x = 1,092,734.66

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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.