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Finding the Third Proportional to 270,961 and 595,550

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Solution

The third proportional to 270,961 and 595,550 is: 1,308,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,961 : 595,550 = 595,550 : x
  2. Step 2: Convert to fraction form
    270,961/595,550 = 595,550/x
  3. Step 3: Cross multiply
    270,961x = 595,550 × 595,550
  4. Step 4: Simplify right side
    270,961x = 354,679,802,500
  5. Step 5: Solve for x
    x = 354,679,802,500/270,961
  6. Step 6: Final answer
    x = 1,308,969.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.