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Finding the Third Proportional to 434,081 and 672,060

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Solution

The third proportional to 434,081 and 672,060 is: 1,040,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,081 : 672,060 = 672,060 : x
  2. Step 2: Convert to fraction form
    434,081/672,060 = 672,060/x
  3. Step 3: Cross multiply
    434,081x = 672,060 × 672,060
  4. Step 4: Simplify right side
    434,081x = 451,664,643,600
  5. Step 5: Solve for x
    x = 451,664,643,600/434,081
  6. Step 6: Final answer
    x = 1,040,507.75

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