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Finding the Third Proportional to 272,102 and 635,400

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Solution

The third proportional to 272,102 and 635,400 is: 1,483,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,102 : 635,400 = 635,400 : x
  2. Step 2: Convert to fraction form
    272,102/635,400 = 635,400/x
  3. Step 3: Cross multiply
    272,102x = 635,400 × 635,400
  4. Step 4: Simplify right side
    272,102x = 403,733,160,000
  5. Step 5: Solve for x
    x = 403,733,160,000/272,102
  6. Step 6: Final answer
    x = 1,483,756.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.