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Finding the Third Proportional to 675,165 and 955,324.50

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Solution

The third proportional to 675,165 and 955,324.50 is: 1,351,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,165 : 955,324.50 = 955,324.50 : x
  2. Step 2: Convert to fraction form
    675,165/955,324.50 = 955,324.50/x
  3. Step 3: Cross multiply
    675,165x = 955,324.50 × 955,324.50
  4. Step 4: Simplify right side
    675,165x = 912,644,900,300.25
  5. Step 5: Solve for x
    x = 912,644,900,300.25/675,165
  6. Step 6: Final answer
    x = 1,351,736.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.