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Finding the Third Proportional to 505,303.31 and 1,094,720.06

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Solution

The third proportional to 505,303.31 and 1,094,720.06 is: 2,371,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,303.31 : 1,094,720.06 = 1,094,720.06 : x
  2. Step 2: Convert to fraction form
    505,303.31/1,094,720.06 = 1,094,720.06/x
  3. Step 3: Cross multiply
    505,303.31x = 1,094,720.06 × 1,094,720.06
  4. Step 4: Simplify right side
    505,303.31x = 1,198,412,015,240.00
  5. Step 5: Solve for x
    x = 1,198,412,015,240.00/505,303.31
  6. Step 6: Final answer
    x = 2,371,668.63

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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.