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Finding the Third Proportional to 248,864 and 539,200

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Solution

The third proportional to 248,864 and 539,200 is: 1,168,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,864 : 539,200 = 539,200 : x
  2. Step 2: Convert to fraction form
    248,864/539,200 = 539,200/x
  3. Step 3: Cross multiply
    248,864x = 539,200 × 539,200
  4. Step 4: Simplify right side
    248,864x = 290,736,640,000
  5. Step 5: Solve for x
    x = 290,736,640,000/248,864
  6. Step 6: Final answer
    x = 1,168,255.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.