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Finding the Third Proportional to 271,911.50 and 583,175

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Solution

The third proportional to 271,911.50 and 583,175 is: 1,250,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,911.50 : 583,175 = 583,175 : x
  2. Step 2: Convert to fraction form
    271,911.50/583,175 = 583,175/x
  3. Step 3: Cross multiply
    271,911.50x = 583,175 × 583,175
  4. Step 4: Simplify right side
    271,911.50x = 340,093,080,625
  5. Step 5: Solve for x
    x = 340,093,080,625/271,911.50
  6. Step 6: Final answer
    x = 1,250,749.16

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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.