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Finding the Third Proportional to 219,567 and 489,619.31

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Solution

The third proportional to 219,567 and 489,619.31 is: 1,091,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,567 : 489,619.31 = 489,619.31 : x
  2. Step 2: Convert to fraction form
    219,567/489,619.31 = 489,619.31/x
  3. Step 3: Cross multiply
    219,567x = 489,619.31 × 489,619.31
  4. Step 4: Simplify right side
    219,567x = 239,727,071,172.97
  5. Step 5: Solve for x
    x = 239,727,071,172.97/219,567
  6. Step 6: Final answer
    x = 1,091,817.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.