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Finding the Third Proportional to 189,594 and 405,432

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Solution

The third proportional to 189,594 and 405,432 is: 866,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,594 : 405,432 = 405,432 : x
  2. Step 2: Convert to fraction form
    189,594/405,432 = 405,432/x
  3. Step 3: Cross multiply
    189,594x = 405,432 × 405,432
  4. Step 4: Simplify right side
    189,594x = 164,375,106,624
  5. Step 5: Solve for x
    x = 164,375,106,624/189,594
  6. Step 6: Final answer
    x = 866,984.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.