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Finding the Third Proportional to 271,848.38 and 588,496.50

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Solution

The third proportional to 271,848.38 and 588,496.50 is: 1,273,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,848.38 : 588,496.50 = 588,496.50 : x
  2. Step 2: Convert to fraction form
    271,848.38/588,496.50 = 588,496.50/x
  3. Step 3: Cross multiply
    271,848.38x = 588,496.50 × 588,496.50
  4. Step 4: Simplify right side
    271,848.38x = 346,328,130,512.25
  5. Step 5: Solve for x
    x = 346,328,130,512.25/271,848.38
  6. Step 6: Final answer
    x = 1,273,975.36

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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.