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Finding the Third Proportional to 490,003 and 737,855

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Solution

The third proportional to 490,003 and 737,855 is: 1,111,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,003 : 737,855 = 737,855 : x
  2. Step 2: Convert to fraction form
    490,003/737,855 = 737,855/x
  3. Step 3: Cross multiply
    490,003x = 737,855 × 737,855
  4. Step 4: Simplify right side
    490,003x = 544,430,001,025
  5. Step 5: Solve for x
    x = 544,430,001,025/490,003
  6. Step 6: Final answer
    x = 1,111,074.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.