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Finding the Third Proportional to 259,486.03 and 561,618.56

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Solution

The third proportional to 259,486.03 and 561,618.56 is: 1,215,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,486.03 : 561,618.56 = 561,618.56 : x
  2. Step 2: Convert to fraction form
    259,486.03/561,618.56 = 561,618.56/x
  3. Step 3: Cross multiply
    259,486.03x = 561,618.56 × 561,618.56
  4. Step 4: Simplify right side
    259,486.03x = 315,415,409,744.57
  5. Step 5: Solve for x
    x = 315,415,409,744.57/259,486.03
  6. Step 6: Final answer
    x = 1,215,539.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.