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Finding the Third Proportional to 271,953 and 587,574

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Solution

The third proportional to 271,953 and 587,574 is: 1,269,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,953 : 587,574 = 587,574 : x
  2. Step 2: Convert to fraction form
    271,953/587,574 = 587,574/x
  3. Step 3: Cross multiply
    271,953x = 587,574 × 587,574
  4. Step 4: Simplify right side
    271,953x = 345,243,205,476
  5. Step 5: Solve for x
    x = 345,243,205,476/271,953
  6. Step 6: Final answer
    x = 1,269,495.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.