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Finding the Third Proportional to 175,618.13 and 414,431.44

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Solution

The third proportional to 175,618.13 and 414,431.44 is: 977,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,618.13 : 414,431.44 = 414,431.44 : x
  2. Step 2: Convert to fraction form
    175,618.13/414,431.44 = 414,431.44/x
  3. Step 3: Cross multiply
    175,618.13x = 414,431.44 × 414,431.44
  4. Step 4: Simplify right side
    175,618.13x = 171,753,416,388.32
  5. Step 5: Solve for x
    x = 171,753,416,388.32/175,618.13
  6. Step 6: Final answer
    x = 977,993.68

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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.