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Finding the Third Proportional to 271,653.12 and 590,017.29

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Solution

The third proportional to 271,653.12 and 590,017.29 is: 1,281,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,653.12 : 590,017.29 = 590,017.29 : x
  2. Step 2: Convert to fraction form
    271,653.12/590,017.29 = 590,017.29/x
  3. Step 3: Cross multiply
    271,653.12x = 590,017.29 × 590,017.29
  4. Step 4: Simplify right side
    271,653.12x = 348,120,401,392.66
  5. Step 5: Solve for x
    x = 348,120,401,392.66/271,653.12
  6. Step 6: Final answer
    x = 1,281,488.71

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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.