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Finding the Third Proportional to 262,391.63 and 548,085.38

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Solution

The third proportional to 262,391.63 and 548,085.38 is: 1,144,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,391.63 : 548,085.38 = 548,085.38 : x
  2. Step 2: Convert to fraction form
    262,391.63/548,085.38 = 548,085.38/x
  3. Step 3: Cross multiply
    262,391.63x = 548,085.38 × 548,085.38
  4. Step 4: Simplify right side
    262,391.63x = 300,397,578,288.89
  5. Step 5: Solve for x
    x = 300,397,578,288.89/262,391.63
  6. Step 6: Final answer
    x = 1,144,844.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.