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Finding the Third Proportional to 383,264 and 806,220

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Solution

The third proportional to 383,264 and 806,220 is: 1,695,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,264 : 806,220 = 806,220 : x
  2. Step 2: Convert to fraction form
    383,264/806,220 = 806,220/x
  3. Step 3: Cross multiply
    383,264x = 806,220 × 806,220
  4. Step 4: Simplify right side
    383,264x = 649,990,688,400
  5. Step 5: Solve for x
    x = 649,990,688,400/383,264
  6. Step 6: Final answer
    x = 1,695,934.63

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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.