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Finding the Third Proportional to 426,864 and 618,252

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Solution

The third proportional to 426,864 and 618,252 is: 895,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,864 : 618,252 = 618,252 : x
  2. Step 2: Convert to fraction form
    426,864/618,252 = 618,252/x
  3. Step 3: Cross multiply
    426,864x = 618,252 × 618,252
  4. Step 4: Simplify right side
    426,864x = 382,235,535,504
  5. Step 5: Solve for x
    x = 382,235,535,504/426,864
  6. Step 6: Final answer
    x = 895,450.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.