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Finding the Third Proportional to 510,948 and 773,523

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Solution

The third proportional to 510,948 and 773,523 is: 1,171,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,948 : 773,523 = 773,523 : x
  2. Step 2: Convert to fraction form
    510,948/773,523 = 773,523/x
  3. Step 3: Cross multiply
    510,948x = 773,523 × 773,523
  4. Step 4: Simplify right side
    510,948x = 598,337,831,529
  5. Step 5: Solve for x
    x = 598,337,831,529/510,948
  6. Step 6: Final answer
    x = 1,171,034.69

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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.