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Finding the Third Proportional to 515,956.50 and 743,166

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Solution

The third proportional to 515,956.50 and 743,166 is: 1,070,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,956.50 : 743,166 = 743,166 : x
  2. Step 2: Convert to fraction form
    515,956.50/743,166 = 743,166/x
  3. Step 3: Cross multiply
    515,956.50x = 743,166 × 743,166
  4. Step 4: Simplify right side
    515,956.50x = 552,295,703,556
  5. Step 5: Solve for x
    x = 552,295,703,556/515,956.50
  6. Step 6: Final answer
    x = 1,070,430.75

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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.