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Finding the Third Proportional to 472,394.53 and 717,339.80

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Solution

The third proportional to 472,394.53 and 717,339.80 is: 1,089,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,394.53 : 717,339.80 = 717,339.80 : x
  2. Step 2: Convert to fraction form
    472,394.53/717,339.80 = 717,339.80/x
  3. Step 3: Cross multiply
    472,394.53x = 717,339.80 × 717,339.80
  4. Step 4: Simplify right side
    472,394.53x = 514,576,384,180.67
  5. Step 5: Solve for x
    x = 514,576,384,180.67/472,394.53
  6. Step 6: Final answer
    x = 1,089,293.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.