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Finding the Third Proportional to 350,096 and 713,026

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Solution

The third proportional to 350,096 and 713,026 is: 1,452,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,096 : 713,026 = 713,026 : x
  2. Step 2: Convert to fraction form
    350,096/713,026 = 713,026/x
  3. Step 3: Cross multiply
    350,096x = 713,026 × 713,026
  4. Step 4: Simplify right side
    350,096x = 508,406,076,676
  5. Step 5: Solve for x
    x = 508,406,076,676/350,096
  6. Step 6: Final answer
    x = 1,452,190.48

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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.