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Finding the Third Proportional to 375,984.75 and 782,950.50

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Solution

The third proportional to 375,984.75 and 782,950.50 is: 1,630,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,984.75 : 782,950.50 = 782,950.50 : x
  2. Step 2: Convert to fraction form
    375,984.75/782,950.50 = 782,950.50/x
  3. Step 3: Cross multiply
    375,984.75x = 782,950.50 × 782,950.50
  4. Step 4: Simplify right side
    375,984.75x = 613,011,485,450.25
  5. Step 5: Solve for x
    x = 613,011,485,450.25/375,984.75
  6. Step 6: Final answer
    x = 1,630,415.82

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.