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Finding the Third Proportional to 550,491.75 and 1,209,237.75

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Solution

The third proportional to 550,491.75 and 1,209,237.75 is: 2,656,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,491.75 : 1,209,237.75 = 1,209,237.75 : x
  2. Step 2: Convert to fraction form
    550,491.75/1,209,237.75 = 1,209,237.75/x
  3. Step 3: Cross multiply
    550,491.75x = 1,209,237.75 × 1,209,237.75
  4. Step 4: Simplify right side
    550,491.75x = 1,462,255,936,025.06
  5. Step 5: Solve for x
    x = 1,462,255,936,025.06/550,491.75
  6. Step 6: Final answer
    x = 2,656,272.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.