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Finding the Third Proportional to 383,664 and 834,528

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Solution

The third proportional to 383,664 and 834,528 is: 1,815,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,664 : 834,528 = 834,528 : x
  2. Step 2: Convert to fraction form
    383,664/834,528 = 834,528/x
  3. Step 3: Cross multiply
    383,664x = 834,528 × 834,528
  4. Step 4: Simplify right side
    383,664x = 696,436,982,784
  5. Step 5: Solve for x
    x = 696,436,982,784/383,664
  6. Step 6: Final answer
    x = 1,815,226.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.