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Finding the Third Proportional to 552,912.75 and 742,996.13

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Solution

The third proportional to 552,912.75 and 742,996.13 is: 998,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,912.75 : 742,996.13 = 742,996.13 : x
  2. Step 2: Convert to fraction form
    552,912.75/742,996.13 = 742,996.13/x
  3. Step 3: Cross multiply
    552,912.75x = 742,996.13 × 742,996.13
  4. Step 4: Simplify right side
    552,912.75x = 552,043,241,765.02
  5. Step 5: Solve for x
    x = 552,043,241,765.02/552,912.75
  6. Step 6: Final answer
    x = 998,427.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.