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Finding the Third Proportional to 236,738 and 508,612

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Solution

The third proportional to 236,738 and 508,612 is: 1,092,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,738 : 508,612 = 508,612 : x
  2. Step 2: Convert to fraction form
    236,738/508,612 = 508,612/x
  3. Step 3: Cross multiply
    236,738x = 508,612 × 508,612
  4. Step 4: Simplify right side
    236,738x = 258,686,166,544
  5. Step 5: Solve for x
    x = 258,686,166,544/236,738
  6. Step 6: Final answer
    x = 1,092,710.79

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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.