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Finding the Third Proportional to 493,191 and 724,230

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Solution

The third proportional to 493,191 and 724,230 is: 1,063,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,191 : 724,230 = 724,230 : x
  2. Step 2: Convert to fraction form
    493,191/724,230 = 724,230/x
  3. Step 3: Cross multiply
    493,191x = 724,230 × 724,230
  4. Step 4: Simplify right side
    493,191x = 524,509,092,900
  5. Step 5: Solve for x
    x = 524,509,092,900/493,191
  6. Step 6: Final answer
    x = 1,063,500.94

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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.