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Finding the Third Proportional to 350,090 and 768,256

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Solution

The third proportional to 350,090 and 768,256 is: 1,685,901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,090 : 768,256 = 768,256 : x
  2. Step 2: Convert to fraction form
    350,090/768,256 = 768,256/x
  3. Step 3: Cross multiply
    350,090x = 768,256 × 768,256
  4. Step 4: Simplify right side
    350,090x = 590,217,281,536
  5. Step 5: Solve for x
    x = 590,217,281,536/350,090
  6. Step 6: Final answer
    x = 1,685,901.57

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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.