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Finding the Third Proportional to 299,181.38 and 648,207

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Solution

The third proportional to 299,181.38 and 648,207 is: 1,404,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,181.38 : 648,207 = 648,207 : x
  2. Step 2: Convert to fraction form
    299,181.38/648,207 = 648,207/x
  3. Step 3: Cross multiply
    299,181.38x = 648,207 × 648,207
  4. Step 4: Simplify right side
    299,181.38x = 420,172,314,849
  5. Step 5: Solve for x
    x = 420,172,314,849/299,181.38
  6. Step 6: Final answer
    x = 1,404,406.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.