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Finding the Third Proportional to 567,364.50 and 1,229,285.25

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Solution

The third proportional to 567,364.50 and 1,229,285.25 is: 2,663,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,364.50 : 1,229,285.25 = 1,229,285.25 : x
  2. Step 2: Convert to fraction form
    567,364.50/1,229,285.25 = 1,229,285.25/x
  3. Step 3: Cross multiply
    567,364.50x = 1,229,285.25 × 1,229,285.25
  4. Step 4: Simplify right side
    567,364.50x = 1,511,142,225,867.56
  5. Step 5: Solve for x
    x = 1,511,142,225,867.56/567,364.50
  6. Step 6: Final answer
    x = 2,663,441.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.