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Finding the Third Proportional to 383,402 and 806,466

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Solution

The third proportional to 383,402 and 806,466 is: 1,696,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,402 : 806,466 = 806,466 : x
  2. Step 2: Convert to fraction form
    383,402/806,466 = 806,466/x
  3. Step 3: Cross multiply
    383,402x = 806,466 × 806,466
  4. Step 4: Simplify right side
    383,402x = 650,387,409,156
  5. Step 5: Solve for x
    x = 650,387,409,156/383,402
  6. Step 6: Final answer
    x = 1,696,358.94

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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.