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Finding the Third Proportional to 237,019.13 and 518,380.13

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Solution

The third proportional to 237,019.13 and 518,380.13 is: 1,133,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,019.13 : 518,380.13 = 518,380.13 : x
  2. Step 2: Convert to fraction form
    237,019.13/518,380.13 = 518,380.13/x
  3. Step 3: Cross multiply
    237,019.13x = 518,380.13 × 518,380.13
  4. Step 4: Simplify right side
    237,019.13x = 268,717,953,995.02
  5. Step 5: Solve for x
    x = 268,717,953,995.02/237,019.13
  6. Step 6: Final answer
    x = 1,133,739.54

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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.