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Finding the Third Proportional to 505,920 and 1,077,384.38

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Solution

The third proportional to 505,920 and 1,077,384.38 is: 2,294,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,920 : 1,077,384.38 = 1,077,384.38 : x
  2. Step 2: Convert to fraction form
    505,920/1,077,384.38 = 1,077,384.38/x
  3. Step 3: Cross multiply
    505,920x = 1,077,384.38 × 1,077,384.38
  4. Step 4: Simplify right side
    505,920x = 1,160,757,091,494.14
  5. Step 5: Solve for x
    x = 1,160,757,091,494.14/505,920
  6. Step 6: Final answer
    x = 2,294,349.09

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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.