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Finding the Third Proportional to 335,766.94 and 724,708.69

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Solution

The third proportional to 335,766.94 and 724,708.69 is: 1,564,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,766.94 : 724,708.69 = 724,708.69 : x
  2. Step 2: Convert to fraction form
    335,766.94/724,708.69 = 724,708.69/x
  3. Step 3: Cross multiply
    335,766.94x = 724,708.69 × 724,708.69
  4. Step 4: Simplify right side
    335,766.94x = 525,202,681,737.97
  5. Step 5: Solve for x
    x = 525,202,681,737.97/335,766.94
  6. Step 6: Final answer
    x = 1,564,188.20

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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.