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Finding the Third Proportional to 194,470 and 402,436

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Solution

The third proportional to 194,470 and 402,436 is: 832,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,470 : 402,436 = 402,436 : x
  2. Step 2: Convert to fraction form
    194,470/402,436 = 402,436/x
  3. Step 3: Cross multiply
    194,470x = 402,436 × 402,436
  4. Step 4: Simplify right side
    194,470x = 161,954,734,096
  5. Step 5: Solve for x
    x = 161,954,734,096/194,470
  6. Step 6: Final answer
    x = 832,800.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.