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Finding the Third Proportional to 254,750 and 539,843.50

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Solution

The third proportional to 254,750 and 539,843.50 is: 1,143,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,750 : 539,843.50 = 539,843.50 : x
  2. Step 2: Convert to fraction form
    254,750/539,843.50 = 539,843.50/x
  3. Step 3: Cross multiply
    254,750x = 539,843.50 × 539,843.50
  4. Step 4: Simplify right side
    254,750x = 291,431,004,492.25
  5. Step 5: Solve for x
    x = 291,431,004,492.25/254,750
  6. Step 6: Final answer
    x = 1,143,988.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.