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Finding the Third Proportional to 505,707.68 and 1,075,778.09

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Solution

The third proportional to 505,707.68 and 1,075,778.09 is: 2,288,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,707.68 : 1,075,778.09 = 1,075,778.09 : x
  2. Step 2: Convert to fraction form
    505,707.68/1,075,778.09 = 1,075,778.09/x
  3. Step 3: Cross multiply
    505,707.68x = 1,075,778.09 × 1,075,778.09
  4. Step 4: Simplify right side
    505,707.68x = 1,157,298,490,183.35
  5. Step 5: Solve for x
    x = 1,157,298,490,183.35/505,707.68
  6. Step 6: Final answer
    x = 2,288,473.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.