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Finding the Third Proportional to 698,672.50 and 988,821

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Solution

The third proportional to 698,672.50 and 988,821 is: 1,399,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,672.50 : 988,821 = 988,821 : x
  2. Step 2: Convert to fraction form
    698,672.50/988,821 = 988,821/x
  3. Step 3: Cross multiply
    698,672.50x = 988,821 × 988,821
  4. Step 4: Simplify right side
    698,672.50x = 977,766,970,041
  5. Step 5: Solve for x
    x = 977,766,970,041/698,672.50
  6. Step 6: Final answer
    x = 1,399,463.94

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.