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Finding the Third Proportional to 344,022.75 and 525,021

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Solution

The third proportional to 344,022.75 and 525,021 is: 801,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,022.75 : 525,021 = 525,021 : x
  2. Step 2: Convert to fraction form
    344,022.75/525,021 = 525,021/x
  3. Step 3: Cross multiply
    344,022.75x = 525,021 × 525,021
  4. Step 4: Simplify right side
    344,022.75x = 275,647,050,441
  5. Step 5: Solve for x
    x = 275,647,050,441/344,022.75
  6. Step 6: Final answer
    x = 801,246.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.