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Finding the Third Proportional to 383,264 and 806,254

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Solution

The third proportional to 383,264 and 806,254 is: 1,696,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,264 : 806,254 = 806,254 : x
  2. Step 2: Convert to fraction form
    383,264/806,254 = 806,254/x
  3. Step 3: Cross multiply
    383,264x = 806,254 × 806,254
  4. Step 4: Simplify right side
    383,264x = 650,045,512,516
  5. Step 5: Solve for x
    x = 650,045,512,516/383,264
  6. Step 6: Final answer
    x = 1,696,077.67

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Why These Related Problems?

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