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Finding the Third Proportional to 490,080 and 1,055,287.50

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Solution

The third proportional to 490,080 and 1,055,287.50 is: 2,272,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,080 : 1,055,287.50 = 1,055,287.50 : x
  2. Step 2: Convert to fraction form
    490,080/1,055,287.50 = 1,055,287.50/x
  3. Step 3: Cross multiply
    490,080x = 1,055,287.50 × 1,055,287.50
  4. Step 4: Simplify right side
    490,080x = 1,113,631,707,656.25
  5. Step 5: Solve for x
    x = 1,113,631,707,656.25/490,080
  6. Step 6: Final answer
    x = 2,272,346.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.