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Finding the Third Proportional to 449,476.50 and 965,656.50

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Solution

The third proportional to 449,476.50 and 965,656.50 is: 2,074,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,476.50 : 965,656.50 = 965,656.50 : x
  2. Step 2: Convert to fraction form
    449,476.50/965,656.50 = 965,656.50/x
  3. Step 3: Cross multiply
    449,476.50x = 965,656.50 × 965,656.50
  4. Step 4: Simplify right side
    449,476.50x = 932,492,475,992.25
  5. Step 5: Solve for x
    x = 932,492,475,992.25/449,476.50
  6. Step 6: Final answer
    x = 2,074,618.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.