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Finding the Third Proportional to 332,338.50 and 724,826.25

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Solution

The third proportional to 332,338.50 and 724,826.25 is: 1,580,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,338.50 : 724,826.25 = 724,826.25 : x
  2. Step 2: Convert to fraction form
    332,338.50/724,826.25 = 724,826.25/x
  3. Step 3: Cross multiply
    332,338.50x = 724,826.25 × 724,826.25
  4. Step 4: Simplify right side
    332,338.50x = 525,373,092,689.06
  5. Step 5: Solve for x
    x = 525,373,092,689.06/332,338.50
  6. Step 6: Final answer
    x = 1,580,837.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.