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Finding the Third Proportional to 241,570 and 512,372

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Solution

The third proportional to 241,570 and 512,372 is: 1,086,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,570 : 512,372 = 512,372 : x
  2. Step 2: Convert to fraction form
    241,570/512,372 = 512,372/x
  3. Step 3: Cross multiply
    241,570x = 512,372 × 512,372
  4. Step 4: Simplify right side
    241,570x = 262,525,066,384
  5. Step 5: Solve for x
    x = 262,525,066,384/241,570
  6. Step 6: Final answer
    x = 1,086,745.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.