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Finding the Third Proportional to 507,647.25 and 1,082,848.50

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Solution

The third proportional to 507,647.25 and 1,082,848.50 is: 2,309,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,647.25 : 1,082,848.50 = 1,082,848.50 : x
  2. Step 2: Convert to fraction form
    507,647.25/1,082,848.50 = 1,082,848.50/x
  3. Step 3: Cross multiply
    507,647.25x = 1,082,848.50 × 1,082,848.50
  4. Step 4: Simplify right side
    507,647.25x = 1,172,560,873,952.25
  5. Step 5: Solve for x
    x = 1,172,560,873,952.25/507,647.25
  6. Step 6: Final answer
    x = 2,309,794.59

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.