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Finding the Third Proportional to 380,977 and 837,162.50

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Solution

The third proportional to 380,977 and 837,162.50 is: 1,839,588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,977 : 837,162.50 = 837,162.50 : x
  2. Step 2: Convert to fraction form
    380,977/837,162.50 = 837,162.50/x
  3. Step 3: Cross multiply
    380,977x = 837,162.50 × 837,162.50
  4. Step 4: Simplify right side
    380,977x = 700,841,051,406.25
  5. Step 5: Solve for x
    x = 700,841,051,406.25/380,977
  6. Step 6: Final answer
    x = 1,839,588.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.