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Finding the Third Proportional to 397,003.50 and 865,381.50

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Solution

The third proportional to 397,003.50 and 865,381.50 is: 1,886,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,003.50 : 865,381.50 = 865,381.50 : x
  2. Step 2: Convert to fraction form
    397,003.50/865,381.50 = 865,381.50/x
  3. Step 3: Cross multiply
    397,003.50x = 865,381.50 × 865,381.50
  4. Step 4: Simplify right side
    397,003.50x = 748,885,140,542.25
  5. Step 5: Solve for x
    x = 748,885,140,542.25/397,003.50
  6. Step 6: Final answer
    x = 1,886,343.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.