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Finding the Third Proportional to 250,305.50 and 518,345.50

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Solution

The third proportional to 250,305.50 and 518,345.50 is: 1,073,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,305.50 : 518,345.50 = 518,345.50 : x
  2. Step 2: Convert to fraction form
    250,305.50/518,345.50 = 518,345.50/x
  3. Step 3: Cross multiply
    250,305.50x = 518,345.50 × 518,345.50
  4. Step 4: Simplify right side
    250,305.50x = 268,682,057,370.25
  5. Step 5: Solve for x
    x = 268,682,057,370.25/250,305.50
  6. Step 6: Final answer
    x = 1,073,416.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.