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Finding the Third Proportional to 463,375 and 1,082,575

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Solution

The third proportional to 463,375 and 1,082,575 is: 2,529,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,375 : 1,082,575 = 1,082,575 : x
  2. Step 2: Convert to fraction form
    463,375/1,082,575 = 1,082,575/x
  3. Step 3: Cross multiply
    463,375x = 1,082,575 × 1,082,575
  4. Step 4: Simplify right side
    463,375x = 1,171,968,630,625
  5. Step 5: Solve for x
    x = 1,171,968,630,625/463,375
  6. Step 6: Final answer
    x = 2,529,201.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.