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Finding the Third Proportional to 366,946 and 548,708

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Solution

The third proportional to 366,946 and 548,708 is: 820,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,946 : 548,708 = 548,708 : x
  2. Step 2: Convert to fraction form
    366,946/548,708 = 548,708/x
  3. Step 3: Cross multiply
    366,946x = 548,708 × 548,708
  4. Step 4: Simplify right side
    366,946x = 301,080,469,264
  5. Step 5: Solve for x
    x = 301,080,469,264/366,946
  6. Step 6: Final answer
    x = 820,503.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.