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Finding the Third Proportional to 351,394 and 770,504

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Solution

The third proportional to 351,394 and 770,504 is: 1,689,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,394 : 770,504 = 770,504 : x
  2. Step 2: Convert to fraction form
    351,394/770,504 = 770,504/x
  3. Step 3: Cross multiply
    351,394x = 770,504 × 770,504
  4. Step 4: Simplify right side
    351,394x = 593,676,414,016
  5. Step 5: Solve for x
    x = 593,676,414,016/351,394
  6. Step 6: Final answer
    x = 1,689,489.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.