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Finding the Third Proportional to 415,374.75 and 903,649.50

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Solution

The third proportional to 415,374.75 and 903,649.50 is: 1,965,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,374.75 : 903,649.50 = 903,649.50 : x
  2. Step 2: Convert to fraction form
    415,374.75/903,649.50 = 903,649.50/x
  3. Step 3: Cross multiply
    415,374.75x = 903,649.50 × 903,649.50
  4. Step 4: Simplify right side
    415,374.75x = 816,582,418,850.25
  5. Step 5: Solve for x
    x = 816,582,418,850.25/415,374.75
  6. Step 6: Final answer
    x = 1,965,893.25

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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.