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Finding the Third Proportional to 458,117.50 and 699,022.25

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Solution

The third proportional to 458,117.50 and 699,022.25 is: 1,066,608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,117.50 : 699,022.25 = 699,022.25 : x
  2. Step 2: Convert to fraction form
    458,117.50/699,022.25 = 699,022.25/x
  3. Step 3: Cross multiply
    458,117.50x = 699,022.25 × 699,022.25
  4. Step 4: Simplify right side
    458,117.50x = 488,632,105,995.06
  5. Step 5: Solve for x
    x = 488,632,105,995.06/458,117.50
  6. Step 6: Final answer
    x = 1,066,608.69

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.