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Finding the Third Proportional to 189,452 and 410,436

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Solution

The third proportional to 189,452 and 410,436 is: 889,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,452 : 410,436 = 410,436 : x
  2. Step 2: Convert to fraction form
    189,452/410,436 = 410,436/x
  3. Step 3: Cross multiply
    189,452x = 410,436 × 410,436
  4. Step 4: Simplify right side
    189,452x = 168,457,710,096
  5. Step 5: Solve for x
    x = 168,457,710,096/189,452
  6. Step 6: Final answer
    x = 889,184.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.