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Finding the Third Proportional to 383,076 and 833,166

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Solution

The third proportional to 383,076 and 833,166 is: 1,812,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,076 : 833,166 = 833,166 : x
  2. Step 2: Convert to fraction form
    383,076/833,166 = 833,166/x
  3. Step 3: Cross multiply
    383,076x = 833,166 × 833,166
  4. Step 4: Simplify right side
    383,076x = 694,165,583,556
  5. Step 5: Solve for x
    x = 694,165,583,556/383,076
  6. Step 6: Final answer
    x = 1,812,083.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.