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Finding the Third Proportional to 250,034 and 539,434

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Solution

The third proportional to 250,034 and 539,434 is: 1,163,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,034 : 539,434 = 539,434 : x
  2. Step 2: Convert to fraction form
    250,034/539,434 = 539,434/x
  3. Step 3: Cross multiply
    250,034x = 539,434 × 539,434
  4. Step 4: Simplify right side
    250,034x = 290,989,040,356
  5. Step 5: Solve for x
    x = 290,989,040,356/250,034
  6. Step 6: Final answer
    x = 1,163,797.88

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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.