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Finding the Third Proportional to 262,754 and 407,626

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Solution

The third proportional to 262,754 and 407,626 is: 632,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,754 : 407,626 = 407,626 : x
  2. Step 2: Convert to fraction form
    262,754/407,626 = 407,626/x
  3. Step 3: Cross multiply
    262,754x = 407,626 × 407,626
  4. Step 4: Simplify right side
    262,754x = 166,158,955,876
  5. Step 5: Solve for x
    x = 166,158,955,876/262,754
  6. Step 6: Final answer
    x = 632,374.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.