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Finding the Third Proportional to 341,586 and 513,477

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Solution

The third proportional to 341,586 and 513,477 is: 771,866.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,586 : 513,477 = 513,477 : x
  2. Step 2: Convert to fraction form
    341,586/513,477 = 513,477/x
  3. Step 3: Cross multiply
    341,586x = 513,477 × 513,477
  4. Step 4: Simplify right side
    341,586x = 263,658,629,529
  5. Step 5: Solve for x
    x = 263,658,629,529/341,586
  6. Step 6: Final answer
    x = 771,866.03

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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.