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Finding the Third Proportional to 684,250.50 and 985,638

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Solution

The third proportional to 684,250.50 and 985,638 is: 1,419,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,250.50 : 985,638 = 985,638 : x
  2. Step 2: Convert to fraction form
    684,250.50/985,638 = 985,638/x
  3. Step 3: Cross multiply
    684,250.50x = 985,638 × 985,638
  4. Step 4: Simplify right side
    684,250.50x = 971,482,267,044
  5. Step 5: Solve for x
    x = 971,482,267,044/684,250.50
  6. Step 6: Final answer
    x = 1,419,775.75

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.