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Finding the Third Proportional to 579,237.75 and 896,879.25

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Solution

The third proportional to 579,237.75 and 896,879.25 is: 1,388,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,237.75 : 896,879.25 = 896,879.25 : x
  2. Step 2: Convert to fraction form
    579,237.75/896,879.25 = 896,879.25/x
  3. Step 3: Cross multiply
    579,237.75x = 896,879.25 × 896,879.25
  4. Step 4: Simplify right side
    579,237.75x = 804,392,389,080.56
  5. Step 5: Solve for x
    x = 804,392,389,080.56/579,237.75
  6. Step 6: Final answer
    x = 1,388,708.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.