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Finding the Third Proportional to 505,302 and 1,094,720.50

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Solution

The third proportional to 505,302 and 1,094,720.50 is: 2,371,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,302 : 1,094,720.50 = 1,094,720.50 : x
  2. Step 2: Convert to fraction form
    505,302/1,094,720.50 = 1,094,720.50/x
  3. Step 3: Cross multiply
    505,302x = 1,094,720.50 × 1,094,720.50
  4. Step 4: Simplify right side
    505,302x = 1,198,412,973,120.25
  5. Step 5: Solve for x
    x = 1,198,412,973,120.25/505,302
  6. Step 6: Final answer
    x = 2,371,676.69

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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.