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Finding the Third Proportional to 263,626.88 and 545,954.63

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Solution

The third proportional to 263,626.88 and 545,954.63 is: 1,130,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,626.88 : 545,954.63 = 545,954.63 : x
  2. Step 2: Convert to fraction form
    263,626.88/545,954.63 = 545,954.63/x
  3. Step 3: Cross multiply
    263,626.88x = 545,954.63 × 545,954.63
  4. Step 4: Simplify right side
    263,626.88x = 298,066,452,558.89
  5. Step 5: Solve for x
    x = 298,066,452,558.89/263,626.88
  6. Step 6: Final answer
    x = 1,130,637.58

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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.