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Finding the Third Proportional to 284,287 and 612,858.50

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Solution

The third proportional to 284,287 and 612,858.50 is: 1,321,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,287 : 612,858.50 = 612,858.50 : x
  2. Step 2: Convert to fraction form
    284,287/612,858.50 = 612,858.50/x
  3. Step 3: Cross multiply
    284,287x = 612,858.50 × 612,858.50
  4. Step 4: Simplify right side
    284,287x = 375,595,541,022.25
  5. Step 5: Solve for x
    x = 375,595,541,022.25/284,287
  6. Step 6: Final answer
    x = 1,321,184.37

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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.