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Finding the Third Proportional to 291,848 and 419,340

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Solution

The third proportional to 291,848 and 419,340 is: 602,526.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,848 : 419,340 = 419,340 : x
  2. Step 2: Convert to fraction form
    291,848/419,340 = 419,340/x
  3. Step 3: Cross multiply
    291,848x = 419,340 × 419,340
  4. Step 4: Simplify right side
    291,848x = 175,846,035,600
  5. Step 5: Solve for x
    x = 175,846,035,600/291,848
  6. Step 6: Final answer
    x = 602,526.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.