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Finding the Third Proportional to 297,092.25 and 641,529

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Solution

The third proportional to 297,092.25 and 641,529 is: 1,385,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,092.25 : 641,529 = 641,529 : x
  2. Step 2: Convert to fraction form
    297,092.25/641,529 = 641,529/x
  3. Step 3: Cross multiply
    297,092.25x = 641,529 × 641,529
  4. Step 4: Simplify right side
    297,092.25x = 411,559,457,841
  5. Step 5: Solve for x
    x = 411,559,457,841/297,092.25
  6. Step 6: Final answer
    x = 1,385,291.80

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Why These Related Problems?

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