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Finding the Third Proportional to 420,795 and 635,560.50

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Solution

The third proportional to 420,795 and 635,560.50 is: 959,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,795 : 635,560.50 = 635,560.50 : x
  2. Step 2: Convert to fraction form
    420,795/635,560.50 = 635,560.50/x
  3. Step 3: Cross multiply
    420,795x = 635,560.50 × 635,560.50
  4. Step 4: Simplify right side
    420,795x = 403,937,149,160.25
  5. Step 5: Solve for x
    x = 403,937,149,160.25/420,795
  6. Step 6: Final answer
    x = 959,938.09

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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.