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Finding the Third Proportional to 272,085 and 590,775

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Solution

The third proportional to 272,085 and 590,775 is: 1,282,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,085 : 590,775 = 590,775 : x
  2. Step 2: Convert to fraction form
    272,085/590,775 = 590,775/x
  3. Step 3: Cross multiply
    272,085x = 590,775 × 590,775
  4. Step 4: Simplify right side
    272,085x = 349,015,100,625
  5. Step 5: Solve for x
    x = 349,015,100,625/272,085
  6. Step 6: Final answer
    x = 1,282,742.90

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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.