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Finding the Third Proportional to 383,441 and 806,534

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Solution

The third proportional to 383,441 and 806,534 is: 1,696,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,441 : 806,534 = 806,534 : x
  2. Step 2: Convert to fraction form
    383,441/806,534 = 806,534/x
  3. Step 3: Cross multiply
    383,441x = 806,534 × 806,534
  4. Step 4: Simplify right side
    383,441x = 650,497,093,156
  5. Step 5: Solve for x
    x = 650,497,093,156/383,441
  6. Step 6: Final answer
    x = 1,696,472.45

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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.