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Finding the Third Proportional to 309,583.13 and 412,822.13

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Solution

The third proportional to 309,583.13 and 412,822.13 is: 550,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,583.13 : 412,822.13 = 412,822.13 : x
  2. Step 2: Convert to fraction form
    309,583.13/412,822.13 = 412,822.13/x
  3. Step 3: Cross multiply
    309,583.13x = 412,822.13 × 412,822.13
  4. Step 4: Simplify right side
    309,583.13x = 170,422,106,889.52
  5. Step 5: Solve for x
    x = 170,422,106,889.52/309,583.13
  6. Step 6: Final answer
    x = 550,489.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.