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Finding the Third Proportional to 355,873.50 and 493,472.25

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Solution

The third proportional to 355,873.50 and 493,472.25 is: 684,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,873.50 : 493,472.25 = 493,472.25 : x
  2. Step 2: Convert to fraction form
    355,873.50/493,472.25 = 493,472.25/x
  3. Step 3: Cross multiply
    355,873.50x = 493,472.25 × 493,472.25
  4. Step 4: Simplify right side
    355,873.50x = 243,514,861,520.06
  5. Step 5: Solve for x
    x = 243,514,861,520.06/355,873.50
  6. Step 6: Final answer
    x = 684,273.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.