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Finding the Third Proportional to 383,266 and 806,258

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Solution

The third proportional to 383,266 and 806,258 is: 1,696,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,266 : 806,258 = 806,258 : x
  2. Step 2: Convert to fraction form
    383,266/806,258 = 806,258/x
  3. Step 3: Cross multiply
    383,266x = 806,258 × 806,258
  4. Step 4: Simplify right side
    383,266x = 650,051,962,564
  5. Step 5: Solve for x
    x = 650,051,962,564/383,266
  6. Step 6: Final answer
    x = 1,696,085.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.