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Finding the Third Proportional to 341,268.75 and 734,051.25

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Solution

The third proportional to 341,268.75 and 734,051.25 is: 1,578,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,268.75 : 734,051.25 = 734,051.25 : x
  2. Step 2: Convert to fraction form
    341,268.75/734,051.25 = 734,051.25/x
  3. Step 3: Cross multiply
    341,268.75x = 734,051.25 × 734,051.25
  4. Step 4: Simplify right side
    341,268.75x = 538,831,237,626.56
  5. Step 5: Solve for x
    x = 538,831,237,626.56/341,268.75
  6. Step 6: Final answer
    x = 1,578,905.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.