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Finding the Third Proportional to 407,466.50 and 890,657.75

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Solution

The third proportional to 407,466.50 and 890,657.75 is: 1,946,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,466.50 : 890,657.75 = 890,657.75 : x
  2. Step 2: Convert to fraction form
    407,466.50/890,657.75 = 890,657.75/x
  3. Step 3: Cross multiply
    407,466.50x = 890,657.75 × 890,657.75
  4. Step 4: Simplify right side
    407,466.50x = 793,271,227,635.06
  5. Step 5: Solve for x
    x = 793,271,227,635.06/407,466.50
  6. Step 6: Final answer
    x = 1,946,837.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.