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Finding the Third Proportional to 271,753.88 and 590,330.25

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Solution

The third proportional to 271,753.88 and 590,330.25 is: 1,282,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,753.88 : 590,330.25 = 590,330.25 : x
  2. Step 2: Convert to fraction form
    271,753.88/590,330.25 = 590,330.25/x
  3. Step 3: Cross multiply
    271,753.88x = 590,330.25 × 590,330.25
  4. Step 4: Simplify right side
    271,753.88x = 348,489,804,065.06
  5. Step 5: Solve for x
    x = 348,489,804,065.06/271,753.88
  6. Step 6: Final answer
    x = 1,282,372.90

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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.