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Finding the Third Proportional to 397,186 and 599,487.50

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Solution

The third proportional to 397,186 and 599,487.50 is: 904,828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,186 : 599,487.50 = 599,487.50 : x
  2. Step 2: Convert to fraction form
    397,186/599,487.50 = 599,487.50/x
  3. Step 3: Cross multiply
    397,186x = 599,487.50 × 599,487.50
  4. Step 4: Simplify right side
    397,186x = 359,385,262,656.25
  5. Step 5: Solve for x
    x = 359,385,262,656.25/397,186
  6. Step 6: Final answer
    x = 904,828.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.