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Finding the Third Proportional to 197,080 and 446,770

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Solution

The third proportional to 197,080 and 446,770 is: 1,012,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,080 : 446,770 = 446,770 : x
  2. Step 2: Convert to fraction form
    197,080/446,770 = 446,770/x
  3. Step 3: Cross multiply
    197,080x = 446,770 × 446,770
  4. Step 4: Simplify right side
    197,080x = 199,603,432,900
  5. Step 5: Solve for x
    x = 199,603,432,900/197,080
  6. Step 6: Final answer
    x = 1,012,804.10

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.