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Finding the Third Proportional to 263,608.13 and 545,908.13

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Solution

The third proportional to 263,608.13 and 545,908.13 is: 1,130,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,608.13 : 545,908.13 = 545,908.13 : x
  2. Step 2: Convert to fraction form
    263,608.13/545,908.13 = 545,908.13/x
  3. Step 3: Cross multiply
    263,608.13x = 545,908.13 × 545,908.13
  4. Step 4: Simplify right side
    263,608.13x = 298,015,680,941.02
  5. Step 5: Solve for x
    x = 298,015,680,941.02/263,608.13
  6. Step 6: Final answer
    x = 1,130,525.40

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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.