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Finding the Third Proportional to 330,743.25 and 724,511.25

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Solution

The third proportional to 330,743.25 and 724,511.25 is: 1,587,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,743.25 : 724,511.25 = 724,511.25 : x
  2. Step 2: Convert to fraction form
    330,743.25/724,511.25 = 724,511.25/x
  3. Step 3: Cross multiply
    330,743.25x = 724,511.25 × 724,511.25
  4. Step 4: Simplify right side
    330,743.25x = 524,916,551,376.56
  5. Step 5: Solve for x
    x = 524,916,551,376.56/330,743.25
  6. Step 6: Final answer
    x = 1,587,081.68

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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.