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Finding the Third Proportional to 577,383 and 831,694.50

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Solution

The third proportional to 577,383 and 831,694.50 is: 1,198,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,383 : 831,694.50 = 831,694.50 : x
  2. Step 2: Convert to fraction form
    577,383/831,694.50 = 831,694.50/x
  3. Step 3: Cross multiply
    577,383x = 831,694.50 × 831,694.50
  4. Step 4: Simplify right side
    577,383x = 691,715,741,330.25
  5. Step 5: Solve for x
    x = 691,715,741,330.25/577,383
  6. Step 6: Final answer
    x = 1,198,018.89

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.