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Finding the Third Proportional to 284,608.69 and 609,570.56

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Solution

The third proportional to 284,608.69 and 609,570.56 is: 1,305,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,608.69 : 609,570.56 = 609,570.56 : x
  2. Step 2: Convert to fraction form
    284,608.69/609,570.56 = 609,570.56/x
  3. Step 3: Cross multiply
    284,608.69x = 609,570.56 × 609,570.56
  4. Step 4: Simplify right side
    284,608.69x = 371,576,270,666.57
  5. Step 5: Solve for x
    x = 371,576,270,666.57/284,608.69
  6. Step 6: Final answer
    x = 1,305,568.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.