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Finding the Third Proportional to 411,907.78 and 850,264.59

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Solution

The third proportional to 411,907.78 and 850,264.59 is: 1,755,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,907.78 : 850,264.59 = 850,264.59 : x
  2. Step 2: Convert to fraction form
    411,907.78/850,264.59 = 850,264.59/x
  3. Step 3: Cross multiply
    411,907.78x = 850,264.59 × 850,264.59
  4. Step 4: Simplify right side
    411,907.78x = 722,949,879,384.85
  5. Step 5: Solve for x
    x = 722,949,879,384.85/411,907.78
  6. Step 6: Final answer
    x = 1,755,125.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.