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Finding the Third Proportional to 463,077 and 713,067.75

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Solution

The third proportional to 463,077 and 713,067.75 is: 1,098,015.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,077 : 713,067.75 = 713,067.75 : x
  2. Step 2: Convert to fraction form
    463,077/713,067.75 = 713,067.75/x
  3. Step 3: Cross multiply
    463,077x = 713,067.75 × 713,067.75
  4. Step 4: Simplify right side
    463,077x = 508,465,616,090.06
  5. Step 5: Solve for x
    x = 508,465,616,090.06/463,077
  6. Step 6: Final answer
    x = 1,098,015.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.