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Finding the Third Proportional to 263,608.13 and 545,907.75

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Solution

The third proportional to 263,608.13 and 545,907.75 is: 1,130,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,608.13 : 545,907.75 = 545,907.75 : x
  2. Step 2: Convert to fraction form
    263,608.13/545,907.75 = 545,907.75/x
  3. Step 3: Cross multiply
    263,608.13x = 545,907.75 × 545,907.75
  4. Step 4: Simplify right side
    263,608.13x = 298,015,271,510.06
  5. Step 5: Solve for x
    x = 298,015,271,510.06/263,608.13
  6. Step 6: Final answer
    x = 1,130,523.85

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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.