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Finding the Third Proportional to 208,740 and 446,994

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Solution

The third proportional to 208,740 and 446,994 is: 957,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,740 : 446,994 = 446,994 : x
  2. Step 2: Convert to fraction form
    208,740/446,994 = 446,994/x
  3. Step 3: Cross multiply
    208,740x = 446,994 × 446,994
  4. Step 4: Simplify right side
    208,740x = 199,803,636,036
  5. Step 5: Solve for x
    x = 199,803,636,036/208,740
  6. Step 6: Final answer
    x = 957,189.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.