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Finding the Third Proportional to 332,346 and 724,842.75

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Solution

The third proportional to 332,346 and 724,842.75 is: 1,580,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,346 : 724,842.75 = 724,842.75 : x
  2. Step 2: Convert to fraction form
    332,346/724,842.75 = 724,842.75/x
  3. Step 3: Cross multiply
    332,346x = 724,842.75 × 724,842.75
  4. Step 4: Simplify right side
    332,346x = 525,397,012,227.56
  5. Step 5: Solve for x
    x = 525,397,012,227.56/332,346
  6. Step 6: Final answer
    x = 1,580,873.58

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