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Finding the Third Proportional to 342,804 and 738,224

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Solution

The third proportional to 342,804 and 738,224 is: 1,589,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,804 : 738,224 = 738,224 : x
  2. Step 2: Convert to fraction form
    342,804/738,224 = 738,224/x
  3. Step 3: Cross multiply
    342,804x = 738,224 × 738,224
  4. Step 4: Simplify right side
    342,804x = 544,974,674,176
  5. Step 5: Solve for x
    x = 544,974,674,176/342,804
  6. Step 6: Final answer
    x = 1,589,755.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.