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Finding the Third Proportional to 368,061 and 794,119

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Solution

The third proportional to 368,061 and 794,119 is: 1,713,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,061 : 794,119 = 794,119 : x
  2. Step 2: Convert to fraction form
    368,061/794,119 = 794,119/x
  3. Step 3: Cross multiply
    368,061x = 794,119 × 794,119
  4. Step 4: Simplify right side
    368,061x = 630,624,986,161
  5. Step 5: Solve for x
    x = 630,624,986,161/368,061
  6. Step 6: Final answer
    x = 1,713,370.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.