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Finding the Third Proportional to 189,507 and 412,422

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Solution

The third proportional to 189,507 and 412,422 is: 897,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,507 : 412,422 = 412,422 : x
  2. Step 2: Convert to fraction form
    189,507/412,422 = 412,422/x
  3. Step 3: Cross multiply
    189,507x = 412,422 × 412,422
  4. Step 4: Simplify right side
    189,507x = 170,091,906,084
  5. Step 5: Solve for x
    x = 170,091,906,084/189,507
  6. Step 6: Final answer
    x = 897,549.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.