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Finding the Third Proportional to 376,521 and 827,434.50

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Solution

The third proportional to 376,521 and 827,434.50 is: 1,818,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,521 : 827,434.50 = 827,434.50 : x
  2. Step 2: Convert to fraction form
    376,521/827,434.50 = 827,434.50/x
  3. Step 3: Cross multiply
    376,521x = 827,434.50 × 827,434.50
  4. Step 4: Simplify right side
    376,521x = 684,647,851,790.25
  5. Step 5: Solve for x
    x = 684,647,851,790.25/376,521
  6. Step 6: Final answer
    x = 1,818,352.37

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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.