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Finding the Third Proportional to 405,236.75 and 938,050.25

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Solution

The third proportional to 405,236.75 and 938,050.25 is: 2,171,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,236.75 : 938,050.25 = 938,050.25 : x
  2. Step 2: Convert to fraction form
    405,236.75/938,050.25 = 938,050.25/x
  3. Step 3: Cross multiply
    405,236.75x = 938,050.25 × 938,050.25
  4. Step 4: Simplify right side
    405,236.75x = 879,938,271,525.06
  5. Step 5: Solve for x
    x = 879,938,271,525.06/405,236.75
  6. Step 6: Final answer
    x = 2,171,417.75

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.