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Finding the Third Proportional to 376,381 and 828,578

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Solution

The third proportional to 376,381 and 828,578 is: 1,824,059.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,381 : 828,578 = 828,578 : x
  2. Step 2: Convert to fraction form
    376,381/828,578 = 828,578/x
  3. Step 3: Cross multiply
    376,381x = 828,578 × 828,578
  4. Step 4: Simplify right side
    376,381x = 686,541,502,084
  5. Step 5: Solve for x
    x = 686,541,502,084/376,381
  6. Step 6: Final answer
    x = 1,824,059.93

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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.