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Finding the Third Proportional to 366,213 and 548,958

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Solution

The third proportional to 366,213 and 548,958 is: 822,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,213 : 548,958 = 548,958 : x
  2. Step 2: Convert to fraction form
    366,213/548,958 = 548,958/x
  3. Step 3: Cross multiply
    366,213x = 548,958 × 548,958
  4. Step 4: Simplify right side
    366,213x = 301,354,885,764
  5. Step 5: Solve for x
    x = 301,354,885,764/366,213
  6. Step 6: Final answer
    x = 822,895.11

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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.