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Finding the Third Proportional to 214,413.75 and 456,559.88

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Solution

The third proportional to 214,413.75 and 456,559.88 is: 972,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,413.75 : 456,559.88 = 456,559.88 : x
  2. Step 2: Convert to fraction form
    214,413.75/456,559.88 = 456,559.88/x
  3. Step 3: Cross multiply
    214,413.75x = 456,559.88 × 456,559.88
  4. Step 4: Simplify right side
    214,413.75x = 208,446,919,460.02
  5. Step 5: Solve for x
    x = 208,446,919,460.02/214,413.75
  6. Step 6: Final answer
    x = 972,171.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.