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Finding the Third Proportional to 366,202 and 548,941.50

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Solution

The third proportional to 366,202 and 548,941.50 is: 822,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,202 : 548,941.50 = 548,941.50 : x
  2. Step 2: Convert to fraction form
    366,202/548,941.50 = 548,941.50/x
  3. Step 3: Cross multiply
    366,202x = 548,941.50 × 548,941.50
  4. Step 4: Simplify right side
    366,202x = 301,336,770,422.25
  5. Step 5: Solve for x
    x = 301,336,770,422.25/366,202
  6. Step 6: Final answer
    x = 822,870.36

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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.