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Finding the Third Proportional to 510,868 and 773,394

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Solution

The third proportional to 510,868 and 773,394 is: 1,170,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,868 : 773,394 = 773,394 : x
  2. Step 2: Convert to fraction form
    510,868/773,394 = 773,394/x
  3. Step 3: Cross multiply
    510,868x = 773,394 × 773,394
  4. Step 4: Simplify right side
    510,868x = 598,138,279,236
  5. Step 5: Solve for x
    x = 598,138,279,236/510,868
  6. Step 6: Final answer
    x = 1,170,827.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.