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Finding the Third Proportional to 177,464 and 384,436

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Solution

The third proportional to 177,464 and 384,436 is: 832,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,464 : 384,436 = 384,436 : x
  2. Step 2: Convert to fraction form
    177,464/384,436 = 384,436/x
  3. Step 3: Cross multiply
    177,464x = 384,436 × 384,436
  4. Step 4: Simplify right side
    177,464x = 147,791,038,096
  5. Step 5: Solve for x
    x = 147,791,038,096/177,464
  6. Step 6: Final answer
    x = 832,794.47

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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.