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Finding the Third Proportional to 297,100.41 and 641,561.77

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Solution

The third proportional to 297,100.41 and 641,561.77 is: 1,385,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,100.41 : 641,561.77 = 641,561.77 : x
  2. Step 2: Convert to fraction form
    297,100.41/641,561.77 = 641,561.77/x
  3. Step 3: Cross multiply
    297,100.41x = 641,561.77 × 641,561.77
  4. Step 4: Simplify right side
    297,100.41x = 411,601,499,111.87
  5. Step 5: Solve for x
    x = 411,601,499,111.87/297,100.41
  6. Step 6: Final answer
    x = 1,385,395.28

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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.