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Finding the Third Proportional to 493,196.50 and 724,238

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Solution

The third proportional to 493,196.50 and 724,238 is: 1,063,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,196.50 : 724,238 = 724,238 : x
  2. Step 2: Convert to fraction form
    493,196.50/724,238 = 724,238/x
  3. Step 3: Cross multiply
    493,196.50x = 724,238 × 724,238
  4. Step 4: Simplify right side
    493,196.50x = 524,520,680,644
  5. Step 5: Solve for x
    x = 524,520,680,644/493,196.50
  6. Step 6: Final answer
    x = 1,063,512.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.