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Finding the Third Proportional to 379,025.50 and 572,477

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Solution

The third proportional to 379,025.50 and 572,477 is: 864,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,025.50 : 572,477 = 572,477 : x
  2. Step 2: Convert to fraction form
    379,025.50/572,477 = 572,477/x
  3. Step 3: Cross multiply
    379,025.50x = 572,477 × 572,477
  4. Step 4: Simplify right side
    379,025.50x = 327,729,915,529
  5. Step 5: Solve for x
    x = 327,729,915,529/379,025.50
  6. Step 6: Final answer
    x = 864,664.56

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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.