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Finding the Third Proportional to 239,386.50 and 518,670

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Solution

The third proportional to 239,386.50 and 518,670 is: 1,123,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,386.50 : 518,670 = 518,670 : x
  2. Step 2: Convert to fraction form
    239,386.50/518,670 = 518,670/x
  3. Step 3: Cross multiply
    239,386.50x = 518,670 × 518,670
  4. Step 4: Simplify right side
    239,386.50x = 269,018,568,900
  5. Step 5: Solve for x
    x = 269,018,568,900/239,386.50
  6. Step 6: Final answer
    x = 1,123,783.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.