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Finding the Third Proportional to 383,254.66 and 806,234.13

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Solution

The third proportional to 383,254.66 and 806,234.13 is: 1,696,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,254.66 : 806,234.13 = 806,234.13 : x
  2. Step 2: Convert to fraction form
    383,254.66/806,234.13 = 806,234.13/x
  3. Step 3: Cross multiply
    383,254.66x = 806,234.13 × 806,234.13
  4. Step 4: Simplify right side
    383,254.66x = 650,013,476,911.92
  5. Step 5: Solve for x
    x = 650,013,476,911.92/383,254.66
  6. Step 6: Final answer
    x = 1,696,035.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.