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Finding the Third Proportional to 334,244 and 734,632

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Solution

The third proportional to 334,244 and 734,632 is: 1,614,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,244 : 734,632 = 734,632 : x
  2. Step 2: Convert to fraction form
    334,244/734,632 = 734,632/x
  3. Step 3: Cross multiply
    334,244x = 734,632 × 734,632
  4. Step 4: Simplify right side
    334,244x = 539,684,175,424
  5. Step 5: Solve for x
    x = 539,684,175,424/334,244
  6. Step 6: Final answer
    x = 1,614,641.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.