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Finding the Third Proportional to 318,939 and 513,892.50

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Solution

The third proportional to 318,939 and 513,892.50 is: 828,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,939 : 513,892.50 = 513,892.50 : x
  2. Step 2: Convert to fraction form
    318,939/513,892.50 = 513,892.50/x
  3. Step 3: Cross multiply
    318,939x = 513,892.50 × 513,892.50
  4. Step 4: Simplify right side
    318,939x = 264,085,501,556.25
  5. Step 5: Solve for x
    x = 264,085,501,556.25/318,939
  6. Step 6: Final answer
    x = 828,012.57

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.