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Finding the Third Proportional to 335,766 and 724,704.75

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Solution

The third proportional to 335,766 and 724,704.75 is: 1,564,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,766 : 724,704.75 = 724,704.75 : x
  2. Step 2: Convert to fraction form
    335,766/724,704.75 = 724,704.75/x
  3. Step 3: Cross multiply
    335,766x = 724,704.75 × 724,704.75
  4. Step 4: Simplify right side
    335,766x = 525,196,974,672.56
  5. Step 5: Solve for x
    x = 525,196,974,672.56/335,766
  6. Step 6: Final answer
    x = 1,564,175.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.