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Finding the Third Proportional to 350,149 and 548,704

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Solution

The third proportional to 350,149 and 548,704 is: 859,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,149 : 548,704 = 548,704 : x
  2. Step 2: Convert to fraction form
    350,149/548,704 = 548,704/x
  3. Step 3: Cross multiply
    350,149x = 548,704 × 548,704
  4. Step 4: Simplify right side
    350,149x = 301,076,079,616
  5. Step 5: Solve for x
    x = 301,076,079,616/350,149
  6. Step 6: Final answer
    x = 859,851.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.