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Finding the Third Proportional to 362,984.63 and 563,891.63

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Solution

The third proportional to 362,984.63 and 563,891.63 is: 875,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,984.63 : 563,891.63 = 563,891.63 : x
  2. Step 2: Convert to fraction form
    362,984.63/563,891.63 = 563,891.63/x
  3. Step 3: Cross multiply
    362,984.63x = 563,891.63 × 563,891.63
  4. Step 4: Simplify right side
    362,984.63x = 317,973,764,745.14
  5. Step 5: Solve for x
    x = 317,973,764,745.14/362,984.63
  6. Step 6: Final answer
    x = 875,997.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.