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Finding the Third Proportional to 550,447.50 and 850,576.50

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Solution

The third proportional to 550,447.50 and 850,576.50 is: 1,314,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,447.50 : 850,576.50 = 850,576.50 : x
  2. Step 2: Convert to fraction form
    550,447.50/850,576.50 = 850,576.50/x
  3. Step 3: Cross multiply
    550,447.50x = 850,576.50 × 850,576.50
  4. Step 4: Simplify right side
    550,447.50x = 723,480,382,352.25
  5. Step 5: Solve for x
    x = 723,480,382,352.25/550,447.50
  6. Step 6: Final answer
    x = 1,314,349.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.