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Finding the Third Proportional to 621,657 and 963,589.50

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Solution

The third proportional to 621,657 and 963,589.50 is: 1,493,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,657 : 963,589.50 = 963,589.50 : x
  2. Step 2: Convert to fraction form
    621,657/963,589.50 = 963,589.50/x
  3. Step 3: Cross multiply
    621,657x = 963,589.50 × 963,589.50
  4. Step 4: Simplify right side
    621,657x = 928,504,724,510.25
  5. Step 5: Solve for x
    x = 928,504,724,510.25/621,657
  6. Step 6: Final answer
    x = 1,493,596.51

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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.