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Finding the Third Proportional to 274,952 and 603,040

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Solution

The third proportional to 274,952 and 603,040 is: 1,322,620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,952 : 603,040 = 603,040 : x
  2. Step 2: Convert to fraction form
    274,952/603,040 = 603,040/x
  3. Step 3: Cross multiply
    274,952x = 603,040 × 603,040
  4. Step 4: Simplify right side
    274,952x = 363,657,241,600
  5. Step 5: Solve for x
    x = 363,657,241,600/274,952
  6. Step 6: Final answer
    x = 1,322,620.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.