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Finding the Third Proportional to 250,593.75 and 540,310.50

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Solution

The third proportional to 250,593.75 and 540,310.50 is: 1,164,974.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,593.75 : 540,310.50 = 540,310.50 : x
  2. Step 2: Convert to fraction form
    250,593.75/540,310.50 = 540,310.50/x
  3. Step 3: Cross multiply
    250,593.75x = 540,310.50 × 540,310.50
  4. Step 4: Simplify right side
    250,593.75x = 291,935,436,410.25
  5. Step 5: Solve for x
    x = 291,935,436,410.25/250,593.75
  6. Step 6: Final answer
    x = 1,164,974.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.