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Finding the Third Proportional to 271,679.06 and 595,846.13

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Solution

The third proportional to 271,679.06 and 595,846.13 is: 1,306,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,679.06 : 595,846.13 = 595,846.13 : x
  2. Step 2: Convert to fraction form
    271,679.06/595,846.13 = 595,846.13/x
  3. Step 3: Cross multiply
    271,679.06x = 595,846.13 × 595,846.13
  4. Step 4: Simplify right side
    271,679.06x = 355,032,604,677.52
  5. Step 5: Solve for x
    x = 355,032,604,677.52/271,679.06
  6. Step 6: Final answer
    x = 1,306,808.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.