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Finding the Third Proportional to 525,256 and 1,024,267

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Solution

The third proportional to 525,256 and 1,024,267 is: 1,997,355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,256 : 1,024,267 = 1,024,267 : x
  2. Step 2: Convert to fraction form
    525,256/1,024,267 = 1,024,267/x
  3. Step 3: Cross multiply
    525,256x = 1,024,267 × 1,024,267
  4. Step 4: Simplify right side
    525,256x = 1,049,122,887,289
  5. Step 5: Solve for x
    x = 1,049,122,887,289/525,256
  6. Step 6: Final answer
    x = 1,997,355.36

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.