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Finding the Third Proportional to 629,923.50 and 969,543

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Solution

The third proportional to 629,923.50 and 969,543 is: 1,492,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,923.50 : 969,543 = 969,543 : x
  2. Step 2: Convert to fraction form
    629,923.50/969,543 = 969,543/x
  3. Step 3: Cross multiply
    629,923.50x = 969,543 × 969,543
  4. Step 4: Simplify right side
    629,923.50x = 940,013,628,849
  5. Step 5: Solve for x
    x = 940,013,628,849/629,923.50
  6. Step 6: Final answer
    x = 1,492,266.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.