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Finding the Third Proportional to 297,676.69 and 643,099.50

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Solution

The third proportional to 297,676.69 and 643,099.50 is: 1,389,349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,676.69 : 643,099.50 = 643,099.50 : x
  2. Step 2: Convert to fraction form
    297,676.69/643,099.50 = 643,099.50/x
  3. Step 3: Cross multiply
    297,676.69x = 643,099.50 × 643,099.50
  4. Step 4: Simplify right side
    297,676.69x = 413,576,966,900.25
  5. Step 5: Solve for x
    x = 413,576,966,900.25/297,676.69
  6. Step 6: Final answer
    x = 1,389,349.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.