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Finding the Third Proportional to 451,459.50 and 619,063

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Solution

The third proportional to 451,459.50 and 619,063 is: 848,888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,459.50 : 619,063 = 619,063 : x
  2. Step 2: Convert to fraction form
    451,459.50/619,063 = 619,063/x
  3. Step 3: Cross multiply
    451,459.50x = 619,063 × 619,063
  4. Step 4: Simplify right side
    451,459.50x = 383,238,997,969
  5. Step 5: Solve for x
    x = 383,238,997,969/451,459.50
  6. Step 6: Final answer
    x = 848,888.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.