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Finding the Third Proportional to 490,117.50 and 1,061,659.50

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Solution

The third proportional to 490,117.50 and 1,061,659.50 is: 2,299,695.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,117.50 : 1,061,659.50 = 1,061,659.50 : x
  2. Step 2: Convert to fraction form
    490,117.50/1,061,659.50 = 1,061,659.50/x
  3. Step 3: Cross multiply
    490,117.50x = 1,061,659.50 × 1,061,659.50
  4. Step 4: Simplify right side
    490,117.50x = 1,127,120,893,940.25
  5. Step 5: Solve for x
    x = 1,127,120,893,940.25/490,117.50
  6. Step 6: Final answer
    x = 2,299,695.26

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