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Finding the Third Proportional to 350,104 and 713,060

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Solution

The third proportional to 350,104 and 713,060 is: 1,452,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,104 : 713,060 = 713,060 : x
  2. Step 2: Convert to fraction form
    350,104/713,060 = 713,060/x
  3. Step 3: Cross multiply
    350,104x = 713,060 × 713,060
  4. Step 4: Simplify right side
    350,104x = 508,454,563,600
  5. Step 5: Solve for x
    x = 508,454,563,600/350,104
  6. Step 6: Final answer
    x = 1,452,295.79

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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.