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Finding the Third Proportional to 366,946 and 548,713

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Solution

The third proportional to 366,946 and 548,713 is: 820,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,946 : 548,713 = 548,713 : x
  2. Step 2: Convert to fraction form
    366,946/548,713 = 548,713/x
  3. Step 3: Cross multiply
    366,946x = 548,713 × 548,713
  4. Step 4: Simplify right side
    366,946x = 301,085,956,369
  5. Step 5: Solve for x
    x = 301,085,956,369/366,946
  6. Step 6: Final answer
    x = 820,518.43

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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.