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Finding the Third Proportional to 299,676.38 and 637,493.63

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Solution

The third proportional to 299,676.38 and 637,493.63 is: 1,356,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,676.38 : 637,493.63 = 637,493.63 : x
  2. Step 2: Convert to fraction form
    299,676.38/637,493.63 = 637,493.63/x
  3. Step 3: Cross multiply
    299,676.38x = 637,493.63 × 637,493.63
  4. Step 4: Simplify right side
    299,676.38x = 406,398,121,915.64
  5. Step 5: Solve for x
    x = 406,398,121,915.64/299,676.38
  6. Step 6: Final answer
    x = 1,356,123.32

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.