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Finding the Third Proportional to 325,838.25 and 518,240.25

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Solution

The third proportional to 325,838.25 and 518,240.25 is: 824,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,838.25 : 518,240.25 = 518,240.25 : x
  2. Step 2: Convert to fraction form
    325,838.25/518,240.25 = 518,240.25/x
  3. Step 3: Cross multiply
    325,838.25x = 518,240.25 × 518,240.25
  4. Step 4: Simplify right side
    325,838.25x = 268,572,956,720.06
  5. Step 5: Solve for x
    x = 268,572,956,720.06/325,838.25
  6. Step 6: Final answer
    x = 824,252.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.