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Finding the Third Proportional to 344,686 and 517,394

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Solution

The third proportional to 344,686 and 517,394 is: 776,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,686 : 517,394 = 517,394 : x
  2. Step 2: Convert to fraction form
    344,686/517,394 = 517,394/x
  3. Step 3: Cross multiply
    344,686x = 517,394 × 517,394
  4. Step 4: Simplify right side
    344,686x = 267,696,551,236
  5. Step 5: Solve for x
    x = 267,696,551,236/344,686
  6. Step 6: Final answer
    x = 776,638.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.