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Finding the Third Proportional to 383,454 and 806,571

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Solution

The third proportional to 383,454 and 806,571 is: 1,696,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,454 : 806,571 = 806,571 : x
  2. Step 2: Convert to fraction form
    383,454/806,571 = 806,571/x
  3. Step 3: Cross multiply
    383,454x = 806,571 × 806,571
  4. Step 4: Simplify right side
    383,454x = 650,556,778,041
  5. Step 5: Solve for x
    x = 650,556,778,041/383,454
  6. Step 6: Final answer
    x = 1,696,570.59

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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.