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Finding the Third Proportional to 488,619 and 747,462

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Solution

The third proportional to 488,619 and 747,462 is: 1,143,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,619 : 747,462 = 747,462 : x
  2. Step 2: Convert to fraction form
    488,619/747,462 = 747,462/x
  3. Step 3: Cross multiply
    488,619x = 747,462 × 747,462
  4. Step 4: Simplify right side
    488,619x = 558,699,441,444
  5. Step 5: Solve for x
    x = 558,699,441,444/488,619
  6. Step 6: Final answer
    x = 1,143,425.53

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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.