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Finding the Third Proportional to 334,155 and 734,469

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Solution

The third proportional to 334,155 and 734,469 is: 1,614,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,155 : 734,469 = 734,469 : x
  2. Step 2: Convert to fraction form
    334,155/734,469 = 734,469/x
  3. Step 3: Cross multiply
    334,155x = 734,469 × 734,469
  4. Step 4: Simplify right side
    334,155x = 539,444,711,961
  5. Step 5: Solve for x
    x = 539,444,711,961/334,155
  6. Step 6: Final answer
    x = 1,614,354.75

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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.