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Finding the Third Proportional to 175,956 and 414,946

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Solution

The third proportional to 175,956 and 414,946 is: 978,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,956 : 414,946 = 414,946 : x
  2. Step 2: Convert to fraction form
    175,956/414,946 = 414,946/x
  3. Step 3: Cross multiply
    175,956x = 414,946 × 414,946
  4. Step 4: Simplify right side
    175,956x = 172,180,182,916
  5. Step 5: Solve for x
    x = 172,180,182,916/175,956
  6. Step 6: Final answer
    x = 978,541.13

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