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Finding the Third Proportional to 250,263 and 539,894

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Solution

The third proportional to 250,263 and 539,894 is: 1,164,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,263 : 539,894 = 539,894 : x
  2. Step 2: Convert to fraction form
    250,263/539,894 = 539,894/x
  3. Step 3: Cross multiply
    250,263x = 539,894 × 539,894
  4. Step 4: Simplify right side
    250,263x = 291,485,531,236
  5. Step 5: Solve for x
    x = 291,485,531,236/250,263
  6. Step 6: Final answer
    x = 1,164,716.84

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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.