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Finding the Third Proportional to 505,923.50 and 1,077,392

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Solution

The third proportional to 505,923.50 and 1,077,392 is: 2,294,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,923.50 : 1,077,392 = 1,077,392 : x
  2. Step 2: Convert to fraction form
    505,923.50/1,077,392 = 1,077,392/x
  3. Step 3: Cross multiply
    505,923.50x = 1,077,392 × 1,077,392
  4. Step 4: Simplify right side
    505,923.50x = 1,160,773,521,664
  5. Step 5: Solve for x
    x = 1,160,773,521,664/505,923.50
  6. Step 6: Final answer
    x = 2,294,365.69

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