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Finding the Third Proportional to 309,911.25 and 478,536.75

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Solution

The third proportional to 309,911.25 and 478,536.75 is: 738,912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,911.25 : 478,536.75 = 478,536.75 : x
  2. Step 2: Convert to fraction form
    309,911.25/478,536.75 = 478,536.75/x
  3. Step 3: Cross multiply
    309,911.25x = 478,536.75 × 478,536.75
  4. Step 4: Simplify right side
    309,911.25x = 228,997,421,100.56
  5. Step 5: Solve for x
    x = 228,997,421,100.56/309,911.25
  6. Step 6: Final answer
    x = 738,912.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.