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Finding the Third Proportional to 335,913 and 737,355

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Solution

The third proportional to 335,913 and 737,355 is: 1,618,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,913 : 737,355 = 737,355 : x
  2. Step 2: Convert to fraction form
    335,913/737,355 = 737,355/x
  3. Step 3: Cross multiply
    335,913x = 737,355 × 737,355
  4. Step 4: Simplify right side
    335,913x = 543,692,396,025
  5. Step 5: Solve for x
    x = 543,692,396,025/335,913
  6. Step 6: Final answer
    x = 1,618,551.22

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Why These Related Problems?

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