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Finding the Third Proportional to 505,364.06 and 1,095,714.84

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Solution

The third proportional to 505,364.06 and 1,095,714.84 is: 2,375,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,364.06 : 1,095,714.84 = 1,095,714.84 : x
  2. Step 2: Convert to fraction form
    505,364.06/1,095,714.84 = 1,095,714.84/x
  3. Step 3: Cross multiply
    505,364.06x = 1,095,714.84 × 1,095,714.84
  4. Step 4: Simplify right side
    505,364.06x = 1,200,591,018,814.09
  5. Step 5: Solve for x
    x = 1,200,591,018,814.09/505,364.06
  6. Step 6: Final answer
    x = 2,375,695.28

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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.