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Finding the Third Proportional to 263,611.13 and 545,913.38

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Solution

The third proportional to 263,611.13 and 545,913.38 is: 1,130,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,611.13 : 545,913.38 = 545,913.38 : x
  2. Step 2: Convert to fraction form
    263,611.13/545,913.38 = 545,913.38/x
  3. Step 3: Cross multiply
    263,611.13x = 545,913.38 × 545,913.38
  4. Step 4: Simplify right side
    263,611.13x = 298,021,413,003.89
  5. Step 5: Solve for x
    x = 298,021,413,003.89/263,611.13
  6. Step 6: Final answer
    x = 1,130,534.28

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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.