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Finding the Third Proportional to 437,647.50 and 949,988.25

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Solution

The third proportional to 437,647.50 and 949,988.25 is: 2,062,110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,647.50 : 949,988.25 = 949,988.25 : x
  2. Step 2: Convert to fraction form
    437,647.50/949,988.25 = 949,988.25/x
  3. Step 3: Cross multiply
    437,647.50x = 949,988.25 × 949,988.25
  4. Step 4: Simplify right side
    437,647.50x = 902,477,675,138.06
  5. Step 5: Solve for x
    x = 902,477,675,138.06/437,647.50
  6. Step 6: Final answer
    x = 2,062,110.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.