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Finding the Third Proportional to 583,664.25 and 1,278,045

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Solution

The third proportional to 583,664.25 and 1,278,045 is: 2,798,525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,664.25 : 1,278,045 = 1,278,045 : x
  2. Step 2: Convert to fraction form
    583,664.25/1,278,045 = 1,278,045/x
  3. Step 3: Cross multiply
    583,664.25x = 1,278,045 × 1,278,045
  4. Step 4: Simplify right side
    583,664.25x = 1,633,399,022,025
  5. Step 5: Solve for x
    x = 1,633,399,022,025/583,664.25
  6. Step 6: Final answer
    x = 2,798,525.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.