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Finding the Third Proportional to 335,094 and 790,419

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Solution

The third proportional to 335,094 and 790,419 is: 1,864,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,094 : 790,419 = 790,419 : x
  2. Step 2: Convert to fraction form
    335,094/790,419 = 790,419/x
  3. Step 3: Cross multiply
    335,094x = 790,419 × 790,419
  4. Step 4: Simplify right side
    335,094x = 624,762,195,561
  5. Step 5: Solve for x
    x = 624,762,195,561/335,094
  6. Step 6: Final answer
    x = 1,864,438.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.