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Finding the Third Proportional to 303,834 and 654,769.50

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Solution

The third proportional to 303,834 and 654,769.50 is: 1,411,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,834 : 654,769.50 = 654,769.50 : x
  2. Step 2: Convert to fraction form
    303,834/654,769.50 = 654,769.50/x
  3. Step 3: Cross multiply
    303,834x = 654,769.50 × 654,769.50
  4. Step 4: Simplify right side
    303,834x = 428,723,098,130.25
  5. Step 5: Solve for x
    x = 428,723,098,130.25/303,834
  6. Step 6: Final answer
    x = 1,411,043.85

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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.