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Finding the Third Proportional to 436,903.50 and 678,675

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Solution

The third proportional to 436,903.50 and 678,675 is: 1,054,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,903.50 : 678,675 = 678,675 : x
  2. Step 2: Convert to fraction form
    436,903.50/678,675 = 678,675/x
  3. Step 3: Cross multiply
    436,903.50x = 678,675 × 678,675
  4. Step 4: Simplify right side
    436,903.50x = 460,599,755,625
  5. Step 5: Solve for x
    x = 460,599,755,625/436,903.50
  6. Step 6: Final answer
    x = 1,054,236.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.