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Finding the Third Proportional to 262,391.25 and 543,452.25

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Solution

The third proportional to 262,391.25 and 543,452.25 is: 1,125,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,391.25 : 543,452.25 = 543,452.25 : x
  2. Step 2: Convert to fraction form
    262,391.25/543,452.25 = 543,452.25/x
  3. Step 3: Cross multiply
    262,391.25x = 543,452.25 × 543,452.25
  4. Step 4: Simplify right side
    262,391.25x = 295,340,348,030.06
  5. Step 5: Solve for x
    x = 295,340,348,030.06/262,391.25
  6. Step 6: Final answer
    x = 1,125,572.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.