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Finding the Third Proportional to 264,858.75 and 403,408.13

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Solution

The third proportional to 264,858.75 and 403,408.13 is: 614,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,858.75 : 403,408.13 = 403,408.13 : x
  2. Step 2: Convert to fraction form
    264,858.75/403,408.13 = 403,408.13/x
  3. Step 3: Cross multiply
    264,858.75x = 403,408.13 × 403,408.13
  4. Step 4: Simplify right side
    264,858.75x = 162,738,115,316.02
  5. Step 5: Solve for x
    x = 162,738,115,316.02/264,858.75
  6. Step 6: Final answer
    x = 614,433.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.