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Finding the Third Proportional to 332,336 and 724,821

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Solution

The third proportional to 332,336 and 724,821 is: 1,580,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,336 : 724,821 = 724,821 : x
  2. Step 2: Convert to fraction form
    332,336/724,821 = 724,821/x
  3. Step 3: Cross multiply
    332,336x = 724,821 × 724,821
  4. Step 4: Simplify right side
    332,336x = 525,365,482,041
  5. Step 5: Solve for x
    x = 525,365,482,041/332,336
  6. Step 6: Final answer
    x = 1,580,826.28

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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.