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Finding the Third Proportional to 334,145 and 734,449

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Solution

The third proportional to 334,145 and 734,449 is: 1,614,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,145 : 734,449 = 734,449 : x
  2. Step 2: Convert to fraction form
    334,145/734,449 = 734,449/x
  3. Step 3: Cross multiply
    334,145x = 734,449 × 734,449
  4. Step 4: Simplify right side
    334,145x = 539,415,333,601
  5. Step 5: Solve for x
    x = 539,415,333,601/334,145
  6. Step 6: Final answer
    x = 1,614,315.14

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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.