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Finding the Third Proportional to 271,675.50 and 593,833.50

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Solution

The third proportional to 271,675.50 and 593,833.50 is: 1,298,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,675.50 : 593,833.50 = 593,833.50 : x
  2. Step 2: Convert to fraction form
    271,675.50/593,833.50 = 593,833.50/x
  3. Step 3: Cross multiply
    271,675.50x = 593,833.50 × 593,833.50
  4. Step 4: Simplify right side
    271,675.50x = 352,638,225,722.25
  5. Step 5: Solve for x
    x = 352,638,225,722.25/271,675.50
  6. Step 6: Final answer
    x = 1,298,012.61

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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.