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Finding the Third Proportional to 496,198.41 and 742,314.38

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Solution

The third proportional to 496,198.41 and 742,314.38 is: 1,110,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,198.41 : 742,314.38 = 742,314.38 : x
  2. Step 2: Convert to fraction form
    496,198.41/742,314.38 = 742,314.38/x
  3. Step 3: Cross multiply
    496,198.41x = 742,314.38 × 742,314.38
  4. Step 4: Simplify right side
    496,198.41x = 551,030,631,331.64
  5. Step 5: Solve for x
    x = 551,030,631,331.64/496,198.41
  6. Step 6: Final answer
    x = 1,110,504.64

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Why These Related Problems?

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