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Finding the Third Proportional to 583,514.50 and 1,362,916.75

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Solution

The third proportional to 583,514.50 and 1,362,916.75 is: 3,183,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,514.50 : 1,362,916.75 = 1,362,916.75 : x
  2. Step 2: Convert to fraction form
    583,514.50/1,362,916.75 = 1,362,916.75/x
  3. Step 3: Cross multiply
    583,514.50x = 1,362,916.75 × 1,362,916.75
  4. Step 4: Simplify right side
    583,514.50x = 1,857,542,067,430.56
  5. Step 5: Solve for x
    x = 1,857,542,067,430.56/583,514.50
  6. Step 6: Final answer
    x = 3,183,369.17

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Why These Related Problems?

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