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Finding the Third Proportional to 510,558.19 and 677,261.25

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Solution

The third proportional to 510,558.19 and 677,261.25 is: 898,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,558.19 : 677,261.25 = 677,261.25 : x
  2. Step 2: Convert to fraction form
    510,558.19/677,261.25 = 677,261.25/x
  3. Step 3: Cross multiply
    510,558.19x = 677,261.25 × 677,261.25
  4. Step 4: Simplify right side
    510,558.19x = 458,682,800,751.56
  5. Step 5: Solve for x
    x = 458,682,800,751.56/510,558.19
  6. Step 6: Final answer
    x = 898,394.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.