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Finding the Third Proportional to 655,131 and 982,696.50

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Solution

The third proportional to 655,131 and 982,696.50 is: 1,474,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,131 : 982,696.50 = 982,696.50 : x
  2. Step 2: Convert to fraction form
    655,131/982,696.50 = 982,696.50/x
  3. Step 3: Cross multiply
    655,131x = 982,696.50 × 982,696.50
  4. Step 4: Simplify right side
    655,131x = 965,692,411,112.25
  5. Step 5: Solve for x
    x = 965,692,411,112.25/655,131
  6. Step 6: Final answer
    x = 1,474,044.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.