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Finding the Third Proportional to 366,988 and 548,775

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Solution

The third proportional to 366,988 and 548,775 is: 820,609.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,988 : 548,775 = 548,775 : x
  2. Step 2: Convert to fraction form
    366,988/548,775 = 548,775/x
  3. Step 3: Cross multiply
    366,988x = 548,775 × 548,775
  4. Step 4: Simplify right side
    366,988x = 301,154,000,625
  5. Step 5: Solve for x
    x = 301,154,000,625/366,988
  6. Step 6: Final answer
    x = 820,609.94

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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.