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Finding the Third Proportional to 335,574 and 737,460

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Solution

The third proportional to 335,574 and 737,460 is: 1,620,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,574 : 737,460 = 737,460 : x
  2. Step 2: Convert to fraction form
    335,574/737,460 = 737,460/x
  3. Step 3: Cross multiply
    335,574x = 737,460 × 737,460
  4. Step 4: Simplify right side
    335,574x = 543,847,251,600
  5. Step 5: Solve for x
    x = 543,847,251,600/335,574
  6. Step 6: Final answer
    x = 1,620,647.76

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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.