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Finding the Third Proportional to 507,469.50 and 1,202,213.25

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Solution

The third proportional to 507,469.50 and 1,202,213.25 is: 2,848,085.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,469.50 : 1,202,213.25 = 1,202,213.25 : x
  2. Step 2: Convert to fraction form
    507,469.50/1,202,213.25 = 1,202,213.25/x
  3. Step 3: Cross multiply
    507,469.50x = 1,202,213.25 × 1,202,213.25
  4. Step 4: Simplify right side
    507,469.50x = 1,445,316,698,475.56
  5. Step 5: Solve for x
    x = 1,445,316,698,475.56/507,469.50
  6. Step 6: Final answer
    x = 2,848,085.84

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.