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Finding the Third Proportional to 569,575.50 and 1,212,771

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Solution

The third proportional to 569,575.50 and 1,212,771 is: 2,582,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,575.50 : 1,212,771 = 1,212,771 : x
  2. Step 2: Convert to fraction form
    569,575.50/1,212,771 = 1,212,771/x
  3. Step 3: Cross multiply
    569,575.50x = 1,212,771 × 1,212,771
  4. Step 4: Simplify right side
    569,575.50x = 1,470,813,498,441
  5. Step 5: Solve for x
    x = 1,470,813,498,441/569,575.50
  6. Step 6: Final answer
    x = 2,582,297.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.