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Finding the Third Proportional to 284,087.63 and 613,240.50

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Solution

The third proportional to 284,087.63 and 613,240.50 is: 1,323,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,087.63 : 613,240.50 = 613,240.50 : x
  2. Step 2: Convert to fraction form
    284,087.63/613,240.50 = 613,240.50/x
  3. Step 3: Cross multiply
    284,087.63x = 613,240.50 × 613,240.50
  4. Step 4: Simplify right side
    284,087.63x = 376,063,910,840.25
  5. Step 5: Solve for x
    x = 376,063,910,840.25/284,087.63
  6. Step 6: Final answer
    x = 1,323,760.27

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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.