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Finding the Third Proportional to 505,168 and 780,268

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Solution

The third proportional to 505,168 and 780,268 is: 1,205,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,168 : 780,268 = 780,268 : x
  2. Step 2: Convert to fraction form
    505,168/780,268 = 780,268/x
  3. Step 3: Cross multiply
    505,168x = 780,268 × 780,268
  4. Step 4: Simplify right side
    505,168x = 608,818,151,824
  5. Step 5: Solve for x
    x = 608,818,151,824/505,168
  6. Step 6: Final answer
    x = 1,205,179.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.