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Finding the Third Proportional to 236,452.50 and 518,892.75

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Solution

The third proportional to 236,452.50 and 518,892.75 is: 1,138,705.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,452.50 : 518,892.75 = 518,892.75 : x
  2. Step 2: Convert to fraction form
    236,452.50/518,892.75 = 518,892.75/x
  3. Step 3: Cross multiply
    236,452.50x = 518,892.75 × 518,892.75
  4. Step 4: Simplify right side
    236,452.50x = 269,249,686,002.56
  5. Step 5: Solve for x
    x = 269,249,686,002.56/236,452.50
  6. Step 6: Final answer
    x = 1,138,705.18

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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.