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Finding the Third Proportional to 383,412 and 806,484

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Solution

The third proportional to 383,412 and 806,484 is: 1,696,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,412 : 806,484 = 806,484 : x
  2. Step 2: Convert to fraction form
    383,412/806,484 = 806,484/x
  3. Step 3: Cross multiply
    383,412x = 806,484 × 806,484
  4. Step 4: Simplify right side
    383,412x = 650,416,442,256
  5. Step 5: Solve for x
    x = 650,416,442,256/383,412
  6. Step 6: Final answer
    x = 1,696,390.42

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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.