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Finding the Third Proportional to 519,704.44 and 777,438

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Solution

The third proportional to 519,704.44 and 777,438 is: 1,162,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,704.44 : 777,438 = 777,438 : x
  2. Step 2: Convert to fraction form
    519,704.44/777,438 = 777,438/x
  3. Step 3: Cross multiply
    519,704.44x = 777,438 × 777,438
  4. Step 4: Simplify right side
    519,704.44x = 604,409,843,844
  5. Step 5: Solve for x
    x = 604,409,843,844/519,704.44
  6. Step 6: Final answer
    x = 1,162,987.65

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