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Finding the Third Proportional to 595,175 and 850,761

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Solution

The third proportional to 595,175 and 850,761 is: 1,216,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,175 : 850,761 = 850,761 : x
  2. Step 2: Convert to fraction form
    595,175/850,761 = 850,761/x
  3. Step 3: Cross multiply
    595,175x = 850,761 × 850,761
  4. Step 4: Simplify right side
    595,175x = 723,794,279,121
  5. Step 5: Solve for x
    x = 723,794,279,121/595,175
  6. Step 6: Final answer
    x = 1,216,103.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.