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Finding the Third Proportional to 579,291.75 and 1,211,552.44

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Solution

The third proportional to 579,291.75 and 1,211,552.44 is: 2,533,886.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,291.75 : 1,211,552.44 = 1,211,552.44 : x
  2. Step 2: Convert to fraction form
    579,291.75/1,211,552.44 = 1,211,552.44/x
  3. Step 3: Cross multiply
    579,291.75x = 1,211,552.44 × 1,211,552.44
  4. Step 4: Simplify right side
    579,291.75x = 1,467,859,308,812.19
  5. Step 5: Solve for x
    x = 1,467,859,308,812.19/579,291.75
  6. Step 6: Final answer
    x = 2,533,886.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.