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Finding the Third Proportional to 271,477.50 and 596,263.50

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Solution

The third proportional to 271,477.50 and 596,263.50 is: 1,309,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,477.50 : 596,263.50 = 596,263.50 : x
  2. Step 2: Convert to fraction form
    271,477.50/596,263.50 = 596,263.50/x
  3. Step 3: Cross multiply
    271,477.50x = 596,263.50 × 596,263.50
  4. Step 4: Simplify right side
    271,477.50x = 355,530,161,432.25
  5. Step 5: Solve for x
    x = 355,530,161,432.25/271,477.50
  6. Step 6: Final answer
    x = 1,309,611.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.