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Finding the Third Proportional to 340,050.75 and 744,739.50

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Solution

The third proportional to 340,050.75 and 744,739.50 is: 1,631,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,050.75 : 744,739.50 = 744,739.50 : x
  2. Step 2: Convert to fraction form
    340,050.75/744,739.50 = 744,739.50/x
  3. Step 3: Cross multiply
    340,050.75x = 744,739.50 × 744,739.50
  4. Step 4: Simplify right side
    340,050.75x = 554,636,922,860.25
  5. Step 5: Solve for x
    x = 554,636,922,860.25/340,050.75
  6. Step 6: Final answer
    x = 1,631,041.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.