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Finding the Third Proportional to 350,119 and 713,074

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Solution

The third proportional to 350,119 and 713,074 is: 1,452,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,119 : 713,074 = 713,074 : x
  2. Step 2: Convert to fraction form
    350,119/713,074 = 713,074/x
  3. Step 3: Cross multiply
    350,119x = 713,074 × 713,074
  4. Step 4: Simplify right side
    350,119x = 508,474,529,476
  5. Step 5: Solve for x
    x = 508,474,529,476/350,119
  6. Step 6: Final answer
    x = 1,452,290.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.