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Finding the Third Proportional to 350,116 and 713,064

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Solution

The third proportional to 350,116 and 713,064 is: 1,452,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,116 : 713,064 = 713,064 : x
  2. Step 2: Convert to fraction form
    350,116/713,064 = 713,064/x
  3. Step 3: Cross multiply
    350,116x = 713,064 × 713,064
  4. Step 4: Simplify right side
    350,116x = 508,460,268,096
  5. Step 5: Solve for x
    x = 508,460,268,096/350,116
  6. Step 6: Final answer
    x = 1,452,262.30

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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.