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Finding the Third Proportional to 287,067.75 and 670,506.75

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Solution

The third proportional to 287,067.75 and 670,506.75 is: 1,566,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,067.75 : 670,506.75 = 670,506.75 : x
  2. Step 2: Convert to fraction form
    287,067.75/670,506.75 = 670,506.75/x
  3. Step 3: Cross multiply
    287,067.75x = 670,506.75 × 670,506.75
  4. Step 4: Simplify right side
    287,067.75x = 449,579,301,795.56
  5. Step 5: Solve for x
    x = 449,579,301,795.56/287,067.75
  6. Step 6: Final answer
    x = 1,566,108.70

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.