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Finding the Third Proportional to 241,200 and 522,576

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Solution

The third proportional to 241,200 and 522,576 is: 1,132,196.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,200 : 522,576 = 522,576 : x
  2. Step 2: Convert to fraction form
    241,200/522,576 = 522,576/x
  3. Step 3: Cross multiply
    241,200x = 522,576 × 522,576
  4. Step 4: Simplify right side
    241,200x = 273,085,675,776
  5. Step 5: Solve for x
    x = 273,085,675,776/241,200
  6. Step 6: Final answer
    x = 1,132,196.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.