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Finding the Third Proportional to 330,867 and 724,746

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Solution

The third proportional to 330,867 and 724,746 is: 1,587,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,867 : 724,746 = 724,746 : x
  2. Step 2: Convert to fraction form
    330,867/724,746 = 724,746/x
  3. Step 3: Cross multiply
    330,867x = 724,746 × 724,746
  4. Step 4: Simplify right side
    330,867x = 525,256,764,516
  5. Step 5: Solve for x
    x = 525,256,764,516/330,867
  6. Step 6: Final answer
    x = 1,587,516.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.