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Finding the Third Proportional to 575,007.75 and 1,260,733.50

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Solution

The third proportional to 575,007.75 and 1,260,733.50 is: 2,764,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,007.75 : 1,260,733.50 = 1,260,733.50 : x
  2. Step 2: Convert to fraction form
    575,007.75/1,260,733.50 = 1,260,733.50/x
  3. Step 3: Cross multiply
    575,007.75x = 1,260,733.50 × 1,260,733.50
  4. Step 4: Simplify right side
    575,007.75x = 1,589,448,958,022.25
  5. Step 5: Solve for x
    x = 1,589,448,958,022.25/575,007.75
  6. Step 6: Final answer
    x = 2,764,221.80

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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.