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Finding the Third Proportional to 378,392 and 569,177

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Solution

The third proportional to 378,392 and 569,177 is: 856,155.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,392 : 569,177 = 569,177 : x
  2. Step 2: Convert to fraction form
    378,392/569,177 = 569,177/x
  3. Step 3: Cross multiply
    378,392x = 569,177 × 569,177
  4. Step 4: Simplify right side
    378,392x = 323,962,457,329
  5. Step 5: Solve for x
    x = 323,962,457,329/378,392
  6. Step 6: Final answer
    x = 856,155.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.