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Finding the Third Proportional to 332,403.75 and 724,929.75

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Solution

The third proportional to 332,403.75 and 724,929.75 is: 1,580,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,403.75 : 724,929.75 = 724,929.75 : x
  2. Step 2: Convert to fraction form
    332,403.75/724,929.75 = 724,929.75/x
  3. Step 3: Cross multiply
    332,403.75x = 724,929.75 × 724,929.75
  4. Step 4: Simplify right side
    332,403.75x = 525,523,142,435.06
  5. Step 5: Solve for x
    x = 525,523,142,435.06/332,403.75
  6. Step 6: Final answer
    x = 1,580,978.38

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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.