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Finding the Third Proportional to 529,174 and 794,954

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Solution

The third proportional to 529,174 and 794,954 is: 1,194,223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,174 : 794,954 = 794,954 : x
  2. Step 2: Convert to fraction form
    529,174/794,954 = 794,954/x
  3. Step 3: Cross multiply
    529,174x = 794,954 × 794,954
  4. Step 4: Simplify right side
    529,174x = 631,951,862,116
  5. Step 5: Solve for x
    x = 631,951,862,116/529,174
  6. Step 6: Final answer
    x = 1,194,223.19

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Why These Related Problems?

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