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Finding the Third Proportional to 481,518 and 735,102

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Solution

The third proportional to 481,518 and 735,102 is: 1,122,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,518 : 735,102 = 735,102 : x
  2. Step 2: Convert to fraction form
    481,518/735,102 = 735,102/x
  3. Step 3: Cross multiply
    481,518x = 735,102 × 735,102
  4. Step 4: Simplify right side
    481,518x = 540,374,950,404
  5. Step 5: Solve for x
    x = 540,374,950,404/481,518
  6. Step 6: Final answer
    x = 1,122,232.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.