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Finding the Third Proportional to 345,834 and 518,751

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Solution

The third proportional to 345,834 and 518,751 is: 778,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,834 : 518,751 = 518,751 : x
  2. Step 2: Convert to fraction form
    345,834/518,751 = 518,751/x
  3. Step 3: Cross multiply
    345,834x = 518,751 × 518,751
  4. Step 4: Simplify right side
    345,834x = 269,102,600,001
  5. Step 5: Solve for x
    x = 269,102,600,001/345,834
  6. Step 6: Final answer
    x = 778,126.50

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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.