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Finding the Third Proportional to 350,290 and 768,368

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Solution

The third proportional to 350,290 and 768,368 is: 1,685,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,290 : 768,368 = 768,368 : x
  2. Step 2: Convert to fraction form
    350,290/768,368 = 768,368/x
  3. Step 3: Cross multiply
    350,290x = 768,368 × 768,368
  4. Step 4: Simplify right side
    350,290x = 590,389,383,424
  5. Step 5: Solve for x
    x = 590,389,383,424/350,290
  6. Step 6: Final answer
    x = 1,685,430.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.