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Finding the Third Proportional to 420,599.25 and 635,916.75

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Solution

The third proportional to 420,599.25 and 635,916.75 is: 961,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,599.25 : 635,916.75 = 635,916.75 : x
  2. Step 2: Convert to fraction form
    420,599.25/635,916.75 = 635,916.75/x
  3. Step 3: Cross multiply
    420,599.25x = 635,916.75 × 635,916.75
  4. Step 4: Simplify right side
    420,599.25x = 404,390,112,930.56
  5. Step 5: Solve for x
    x = 404,390,112,930.56/420,599.25
  6. Step 6: Final answer
    x = 961,461.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.