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Finding the Third Proportional to 505,922 and 1,077,388.75

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Solution

The third proportional to 505,922 and 1,077,388.75 is: 2,294,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,922 : 1,077,388.75 = 1,077,388.75 : x
  2. Step 2: Convert to fraction form
    505,922/1,077,388.75 = 1,077,388.75/x
  3. Step 3: Cross multiply
    505,922x = 1,077,388.75 × 1,077,388.75
  4. Step 4: Simplify right side
    505,922x = 1,160,766,518,626.56
  5. Step 5: Solve for x
    x = 1,160,766,518,626.56/505,922
  6. Step 6: Final answer
    x = 2,294,358.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.