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Finding the Third Proportional to 383,266.69 and 806,253.75

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Solution

The third proportional to 383,266.69 and 806,253.75 is: 1,696,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,266.69 : 806,253.75 = 806,253.75 : x
  2. Step 2: Convert to fraction form
    383,266.69/806,253.75 = 806,253.75/x
  3. Step 3: Cross multiply
    383,266.69x = 806,253.75 × 806,253.75
  4. Step 4: Simplify right side
    383,266.69x = 650,045,109,389.06
  5. Step 5: Solve for x
    x = 650,045,109,389.06/383,266.69
  6. Step 6: Final answer
    x = 1,696,064.73

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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.