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Finding the Third Proportional to 618,524.25 and 957,715.50

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Solution

The third proportional to 618,524.25 and 957,715.50 is: 1,482,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,524.25 : 957,715.50 = 957,715.50 : x
  2. Step 2: Convert to fraction form
    618,524.25/957,715.50 = 957,715.50/x
  3. Step 3: Cross multiply
    618,524.25x = 957,715.50 × 957,715.50
  4. Step 4: Simplify right side
    618,524.25x = 917,218,978,940.25
  5. Step 5: Solve for x
    x = 917,218,978,940.25/618,524.25
  6. Step 6: Final answer
    x = 1,482,915.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.