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Finding the Third Proportional to 271,184.25 and 564,814

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Solution

The third proportional to 271,184.25 and 564,814 is: 1,176,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,184.25 : 564,814 = 564,814 : x
  2. Step 2: Convert to fraction form
    271,184.25/564,814 = 564,814/x
  3. Step 3: Cross multiply
    271,184.25x = 564,814 × 564,814
  4. Step 4: Simplify right side
    271,184.25x = 319,014,854,596
  5. Step 5: Solve for x
    x = 319,014,854,596/271,184.25
  6. Step 6: Final answer
    x = 1,176,376.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.