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Finding the Third Proportional to 350,133 and 713,092

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Solution

The third proportional to 350,133 and 713,092 is: 1,452,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,133 : 713,092 = 713,092 : x
  2. Step 2: Convert to fraction form
    350,133/713,092 = 713,092/x
  3. Step 3: Cross multiply
    350,133x = 713,092 × 713,092
  4. Step 4: Simplify right side
    350,133x = 508,500,200,464
  5. Step 5: Solve for x
    x = 508,500,200,464/350,133
  6. Step 6: Final answer
    x = 1,452,305.84

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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.