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Finding the Third Proportional to 175,946 and 414,921

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Solution

The third proportional to 175,946 and 414,921 is: 978,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,946 : 414,921 = 414,921 : x
  2. Step 2: Convert to fraction form
    175,946/414,921 = 414,921/x
  3. Step 3: Cross multiply
    175,946x = 414,921 × 414,921
  4. Step 4: Simplify right side
    175,946x = 172,159,436,241
  5. Step 5: Solve for x
    x = 172,159,436,241/175,946
  6. Step 6: Final answer
    x = 978,478.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.