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Finding the Third Proportional to 504,463.50 and 994,914

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Solution

The third proportional to 504,463.50 and 994,914 is: 1,962,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,463.50 : 994,914 = 994,914 : x
  2. Step 2: Convert to fraction form
    504,463.50/994,914 = 994,914/x
  3. Step 3: Cross multiply
    504,463.50x = 994,914 × 994,914
  4. Step 4: Simplify right side
    504,463.50x = 989,853,867,396
  5. Step 5: Solve for x
    x = 989,853,867,396/504,463.50
  6. Step 6: Final answer
    x = 1,962,191.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.