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Finding the Third Proportional to 333,594 and 491,568

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Solution

The third proportional to 333,594 and 491,568 is: 724,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,594 : 491,568 = 491,568 : x
  2. Step 2: Convert to fraction form
    333,594/491,568 = 491,568/x
  3. Step 3: Cross multiply
    333,594x = 491,568 × 491,568
  4. Step 4: Simplify right side
    333,594x = 241,639,098,624
  5. Step 5: Solve for x
    x = 241,639,098,624/333,594
  6. Step 6: Final answer
    x = 724,350.85

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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.