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Finding the Third Proportional to 271,846.13 and 583,058.25

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Solution

The third proportional to 271,846.13 and 583,058.25 is: 1,250,549.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,846.13 : 583,058.25 = 583,058.25 : x
  2. Step 2: Convert to fraction form
    271,846.13/583,058.25 = 583,058.25/x
  3. Step 3: Cross multiply
    271,846.13x = 583,058.25 × 583,058.25
  4. Step 4: Simplify right side
    271,846.13x = 339,956,922,893.06
  5. Step 5: Solve for x
    x = 339,956,922,893.06/271,846.13
  6. Step 6: Final answer
    x = 1,250,549.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.