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Finding the Third Proportional to 510,914 and 683,379

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Solution

The third proportional to 510,914 and 683,379 is: 914,061.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,914 : 683,379 = 683,379 : x
  2. Step 2: Convert to fraction form
    510,914/683,379 = 683,379/x
  3. Step 3: Cross multiply
    510,914x = 683,379 × 683,379
  4. Step 4: Simplify right side
    510,914x = 467,006,857,641
  5. Step 5: Solve for x
    x = 467,006,857,641/510,914
  6. Step 6: Final answer
    x = 914,061.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.