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Finding the Third Proportional to 263,966 and 425,002

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Solution

The third proportional to 263,966 and 425,002 is: 684,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,966 : 425,002 = 425,002 : x
  2. Step 2: Convert to fraction form
    263,966/425,002 = 425,002/x
  3. Step 3: Cross multiply
    263,966x = 425,002 × 425,002
  4. Step 4: Simplify right side
    263,966x = 180,626,700,004
  5. Step 5: Solve for x
    x = 180,626,700,004/263,966
  6. Step 6: Final answer
    x = 684,280.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.