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Finding the Third Proportional to 376,044.50 and 820,684

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Solution

The third proportional to 376,044.50 and 820,684 is: 1,791,070.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,044.50 : 820,684 = 820,684 : x
  2. Step 2: Convert to fraction form
    376,044.50/820,684 = 820,684/x
  3. Step 3: Cross multiply
    376,044.50x = 820,684 × 820,684
  4. Step 4: Simplify right side
    376,044.50x = 673,522,227,856
  5. Step 5: Solve for x
    x = 673,522,227,856/376,044.50
  6. Step 6: Final answer
    x = 1,791,070.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.