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Finding the Third Proportional to 350,738 and 767,086

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Solution

The third proportional to 350,738 and 767,086 is: 1,677,665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,738 : 767,086 = 767,086 : x
  2. Step 2: Convert to fraction form
    350,738/767,086 = 767,086/x
  3. Step 3: Cross multiply
    350,738x = 767,086 × 767,086
  4. Step 4: Simplify right side
    350,738x = 588,420,931,396
  5. Step 5: Solve for x
    x = 588,420,931,396/350,738
  6. Step 6: Final answer
    x = 1,677,665.18

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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.