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Finding the Third Proportional to 383,076 and 833,328

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Solution

The third proportional to 383,076 and 833,328 is: 1,812,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,076 : 833,328 = 833,328 : x
  2. Step 2: Convert to fraction form
    383,076/833,328 = 833,328/x
  3. Step 3: Cross multiply
    383,076x = 833,328 × 833,328
  4. Step 4: Simplify right side
    383,076x = 694,435,555,584
  5. Step 5: Solve for x
    x = 694,435,555,584/383,076
  6. Step 6: Final answer
    x = 1,812,787.95

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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.