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Finding the Third Proportional to 236,034 and 518,724

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Solution

The third proportional to 236,034 and 518,724 is: 1,139,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,034 : 518,724 = 518,724 : x
  2. Step 2: Convert to fraction form
    236,034/518,724 = 518,724/x
  3. Step 3: Cross multiply
    236,034x = 518,724 × 518,724
  4. Step 4: Simplify right side
    236,034x = 269,074,588,176
  5. Step 5: Solve for x
    x = 269,074,588,176/236,034
  6. Step 6: Final answer
    x = 1,139,982.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.