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Finding the Third Proportional to 241,713.28 and 526,756.50

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Solution

The third proportional to 241,713.28 and 526,756.50 is: 1,147,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,713.28 : 526,756.50 = 526,756.50 : x
  2. Step 2: Convert to fraction form
    241,713.28/526,756.50 = 526,756.50/x
  3. Step 3: Cross multiply
    241,713.28x = 526,756.50 × 526,756.50
  4. Step 4: Simplify right side
    241,713.28x = 277,472,410,292.25
  5. Step 5: Solve for x
    x = 277,472,410,292.25/241,713.28
  6. Step 6: Final answer
    x = 1,147,940.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.