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Finding the Third Proportional to 493,885 and 737,577

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Solution

The third proportional to 493,885 and 737,577 is: 1,101,511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,885 : 737,577 = 737,577 : x
  2. Step 2: Convert to fraction form
    493,885/737,577 = 737,577/x
  3. Step 3: Cross multiply
    493,885x = 737,577 × 737,577
  4. Step 4: Simplify right side
    493,885x = 544,019,830,929
  5. Step 5: Solve for x
    x = 544,019,830,929/493,885
  6. Step 6: Final answer
    x = 1,101,511.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.