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Finding the Third Proportional to 335,769.75 and 724,716

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Solution

The third proportional to 335,769.75 and 724,716 is: 1,564,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,769.75 : 724,716 = 724,716 : x
  2. Step 2: Convert to fraction form
    335,769.75/724,716 = 724,716/x
  3. Step 3: Cross multiply
    335,769.75x = 724,716 × 724,716
  4. Step 4: Simplify right side
    335,769.75x = 525,213,280,656
  5. Step 5: Solve for x
    x = 525,213,280,656/335,769.75
  6. Step 6: Final answer
    x = 1,564,206.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.