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Finding the Third Proportional to 426,896 and 618,300

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Solution

The third proportional to 426,896 and 618,300 is: 895,522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,896 : 618,300 = 618,300 : x
  2. Step 2: Convert to fraction form
    426,896/618,300 = 618,300/x
  3. Step 3: Cross multiply
    426,896x = 618,300 × 618,300
  4. Step 4: Simplify right side
    426,896x = 382,294,890,000
  5. Step 5: Solve for x
    x = 382,294,890,000/426,896
  6. Step 6: Final answer
    x = 895,522.31

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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.