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Finding the Third Proportional to 376,412 and 783,800

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Solution

The third proportional to 376,412 and 783,800 is: 1,632,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,412 : 783,800 = 783,800 : x
  2. Step 2: Convert to fraction form
    376,412/783,800 = 783,800/x
  3. Step 3: Cross multiply
    376,412x = 783,800 × 783,800
  4. Step 4: Simplify right side
    376,412x = 614,342,440,000
  5. Step 5: Solve for x
    x = 614,342,440,000/376,412
  6. Step 6: Final answer
    x = 1,632,101.10

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Why These Related Problems?

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