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Finding the Third Proportional to 465,915.50 and 1,016,175

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Solution

The third proportional to 465,915.50 and 1,016,175 is: 2,216,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,915.50 : 1,016,175 = 1,016,175 : x
  2. Step 2: Convert to fraction form
    465,915.50/1,016,175 = 1,016,175/x
  3. Step 3: Cross multiply
    465,915.50x = 1,016,175 × 1,016,175
  4. Step 4: Simplify right side
    465,915.50x = 1,032,611,630,625
  5. Step 5: Solve for x
    x = 1,032,611,630,625/465,915.50
  6. Step 6: Final answer
    x = 2,216,306.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.