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Finding the Third Proportional to 385,995 and 850,518

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Solution

The third proportional to 385,995 and 850,518 is: 1,874,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,995 : 850,518 = 850,518 : x
  2. Step 2: Convert to fraction form
    385,995/850,518 = 850,518/x
  3. Step 3: Cross multiply
    385,995x = 850,518 × 850,518
  4. Step 4: Simplify right side
    385,995x = 723,380,868,324
  5. Step 5: Solve for x
    x = 723,380,868,324/385,995
  6. Step 6: Final answer
    x = 1,874,067.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.