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Finding the Third Proportional to 350,130 and 713,094

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Solution

The third proportional to 350,130 and 713,094 is: 1,452,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,130 : 713,094 = 713,094 : x
  2. Step 2: Convert to fraction form
    350,130/713,094 = 713,094/x
  3. Step 3: Cross multiply
    350,130x = 713,094 × 713,094
  4. Step 4: Simplify right side
    350,130x = 508,503,052,836
  5. Step 5: Solve for x
    x = 508,503,052,836/350,130
  6. Step 6: Final answer
    x = 1,452,326.43

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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.