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Finding the Third Proportional to 334,701 and 735,741

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Solution

The third proportional to 334,701 and 735,741 is: 1,617,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,701 : 735,741 = 735,741 : x
  2. Step 2: Convert to fraction form
    334,701/735,741 = 735,741/x
  3. Step 3: Cross multiply
    334,701x = 735,741 × 735,741
  4. Step 4: Simplify right side
    334,701x = 541,314,819,081
  5. Step 5: Solve for x
    x = 541,314,819,081/334,701
  6. Step 6: Final answer
    x = 1,617,308.64

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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.