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Finding the Third Proportional to 263,012 and 575,229.25

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Solution

The third proportional to 263,012 and 575,229.25 is: 1,258,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,012 : 575,229.25 = 575,229.25 : x
  2. Step 2: Convert to fraction form
    263,012/575,229.25 = 575,229.25/x
  3. Step 3: Cross multiply
    263,012x = 575,229.25 × 575,229.25
  4. Step 4: Simplify right side
    263,012x = 330,888,690,055.56
  5. Step 5: Solve for x
    x = 330,888,690,055.56/263,012
  6. Step 6: Final answer
    x = 1,258,074.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.