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Finding the Third Proportional to 272,091.66 and 635,378.55

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Solution

The third proportional to 272,091.66 and 635,378.55 is: 1,483,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,091.66 : 635,378.55 = 635,378.55 : x
  2. Step 2: Convert to fraction form
    272,091.66/635,378.55 = 635,378.55/x
  3. Step 3: Cross multiply
    272,091.66x = 635,378.55 × 635,378.55
  4. Step 4: Simplify right side
    272,091.66x = 403,705,907,756.78
  5. Step 5: Solve for x
    x = 403,705,907,756.78/272,091.66
  6. Step 6: Final answer
    x = 1,483,712.93

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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.