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Finding the Third Proportional to 415,280.25 and 636,629.63

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Solution

The third proportional to 415,280.25 and 636,629.63 is: 975,960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,280.25 : 636,629.63 = 636,629.63 : x
  2. Step 2: Convert to fraction form
    415,280.25/636,629.63 = 636,629.63/x
  3. Step 3: Cross multiply
    415,280.25x = 636,629.63 × 636,629.63
  4. Step 4: Simplify right side
    415,280.25x = 405,297,279,427.64
  5. Step 5: Solve for x
    x = 405,297,279,427.64/415,280.25
  6. Step 6: Final answer
    x = 975,960.88

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.