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Finding the Third Proportional to 284,429.25 and 609,340.50

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Solution

The third proportional to 284,429.25 and 609,340.50 is: 1,305,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,429.25 : 609,340.50 = 609,340.50 : x
  2. Step 2: Convert to fraction form
    284,429.25/609,340.50 = 609,340.50/x
  3. Step 3: Cross multiply
    284,429.25x = 609,340.50 × 609,340.50
  4. Step 4: Simplify right side
    284,429.25x = 371,295,844,940.25
  5. Step 5: Solve for x
    x = 371,295,844,940.25/284,429.25
  6. Step 6: Final answer
    x = 1,305,406.69

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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.