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Finding the Third Proportional to 236,473.50 and 518,937

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Solution

The third proportional to 236,473.50 and 518,937 is: 1,138,798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,473.50 : 518,937 = 518,937 : x
  2. Step 2: Convert to fraction form
    236,473.50/518,937 = 518,937/x
  3. Step 3: Cross multiply
    236,473.50x = 518,937 × 518,937
  4. Step 4: Simplify right side
    236,473.50x = 269,295,609,969
  5. Step 5: Solve for x
    x = 269,295,609,969/236,473.50
  6. Step 6: Final answer
    x = 1,138,798.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.