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Finding the Third Proportional to 335,092 and 790,414

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Solution

The third proportional to 335,092 and 790,414 is: 1,864,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,092 : 790,414 = 790,414 : x
  2. Step 2: Convert to fraction form
    335,092/790,414 = 790,414/x
  3. Step 3: Cross multiply
    335,092x = 790,414 × 790,414
  4. Step 4: Simplify right side
    335,092x = 624,754,291,396
  5. Step 5: Solve for x
    x = 624,754,291,396/335,092
  6. Step 6: Final answer
    x = 1,864,426.16

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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.