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Finding the Third Proportional to 350,138 and 540,734

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Solution

The third proportional to 350,138 and 540,734 is: 835,080.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,138 : 540,734 = 540,734 : x
  2. Step 2: Convert to fraction form
    350,138/540,734 = 540,734/x
  3. Step 3: Cross multiply
    350,138x = 540,734 × 540,734
  4. Step 4: Simplify right side
    350,138x = 292,393,258,756
  5. Step 5: Solve for x
    x = 292,393,258,756/350,138
  6. Step 6: Final answer
    x = 835,080.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.