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Finding the Third Proportional to 295,625 and 648,477

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Solution

The third proportional to 295,625 and 648,477 is: 1,422,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,625 : 648,477 = 648,477 : x
  2. Step 2: Convert to fraction form
    295,625/648,477 = 648,477/x
  3. Step 3: Cross multiply
    295,625x = 648,477 × 648,477
  4. Step 4: Simplify right side
    295,625x = 420,522,419,529
  5. Step 5: Solve for x
    x = 420,522,419,529/295,625
  6. Step 6: Final answer
    x = 1,422,485.99

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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.