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Finding the Third Proportional to 197,083 and 446,780.50

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Solution

The third proportional to 197,083 and 446,780.50 is: 1,012,836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,083 : 446,780.50 = 446,780.50 : x
  2. Step 2: Convert to fraction form
    197,083/446,780.50 = 446,780.50/x
  3. Step 3: Cross multiply
    197,083x = 446,780.50 × 446,780.50
  4. Step 4: Simplify right side
    197,083x = 199,612,815,180.25
  5. Step 5: Solve for x
    x = 199,612,815,180.25/197,083
  6. Step 6: Final answer
    x = 1,012,836.29

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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.