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Finding the Third Proportional to 507,417 and 1,202,107.50

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Solution

The third proportional to 507,417 and 1,202,107.50 is: 2,847,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,417 : 1,202,107.50 = 1,202,107.50 : x
  2. Step 2: Convert to fraction form
    507,417/1,202,107.50 = 1,202,107.50/x
  3. Step 3: Cross multiply
    507,417x = 1,202,107.50 × 1,202,107.50
  4. Step 4: Simplify right side
    507,417x = 1,445,062,441,556.25
  5. Step 5: Solve for x
    x = 1,445,062,441,556.25/507,417
  6. Step 6: Final answer
    x = 2,847,879.44

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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.