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Finding the Third Proportional to 382,178 and 795,726

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Solution

The third proportional to 382,178 and 795,726 is: 1,656,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,178 : 795,726 = 795,726 : x
  2. Step 2: Convert to fraction form
    382,178/795,726 = 795,726/x
  3. Step 3: Cross multiply
    382,178x = 795,726 × 795,726
  4. Step 4: Simplify right side
    382,178x = 633,179,867,076
  5. Step 5: Solve for x
    x = 633,179,867,076/382,178
  6. Step 6: Final answer
    x = 1,656,766.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.