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Finding the Third Proportional to 236,694 and 514,860

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Solution

The third proportional to 236,694 and 514,860 is: 1,119,930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,694 : 514,860 = 514,860 : x
  2. Step 2: Convert to fraction form
    236,694/514,860 = 514,860/x
  3. Step 3: Cross multiply
    236,694x = 514,860 × 514,860
  4. Step 4: Simplify right side
    236,694x = 265,080,819,600
  5. Step 5: Solve for x
    x = 265,080,819,600/236,694
  6. Step 6: Final answer
    x = 1,119,930.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.