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Finding the Third Proportional to 343,581 and 519,138

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Solution

The third proportional to 343,581 and 519,138 is: 784,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,581 : 519,138 = 519,138 : x
  2. Step 2: Convert to fraction form
    343,581/519,138 = 519,138/x
  3. Step 3: Cross multiply
    343,581x = 519,138 × 519,138
  4. Step 4: Simplify right side
    343,581x = 269,504,263,044
  5. Step 5: Solve for x
    x = 269,504,263,044/343,581
  6. Step 6: Final answer
    x = 784,398.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.