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Finding the Third Proportional to 271,706.50 and 595,901

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Solution

The third proportional to 271,706.50 and 595,901 is: 1,306,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,706.50 : 595,901 = 595,901 : x
  2. Step 2: Convert to fraction form
    271,706.50/595,901 = 595,901/x
  3. Step 3: Cross multiply
    271,706.50x = 595,901 × 595,901
  4. Step 4: Simplify right side
    271,706.50x = 355,098,001,801
  5. Step 5: Solve for x
    x = 355,098,001,801/271,706.50
  6. Step 6: Final answer
    x = 1,306,917.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.