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Finding the Third Proportional to 236,739 and 508,614

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Solution

The third proportional to 236,739 and 508,614 is: 1,092,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,739 : 508,614 = 508,614 : x
  2. Step 2: Convert to fraction form
    236,739/508,614 = 508,614/x
  3. Step 3: Cross multiply
    236,739x = 508,614 × 508,614
  4. Step 4: Simplify right side
    236,739x = 258,688,200,996
  5. Step 5: Solve for x
    x = 258,688,200,996/236,739
  6. Step 6: Final answer
    x = 1,092,714.77

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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.