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Finding the Third Proportional to 289,806 and 618,120

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Solution

The third proportional to 289,806 and 618,120 is: 1,318,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,806 : 618,120 = 618,120 : x
  2. Step 2: Convert to fraction form
    289,806/618,120 = 618,120/x
  3. Step 3: Cross multiply
    289,806x = 618,120 × 618,120
  4. Step 4: Simplify right side
    289,806x = 382,072,334,400
  5. Step 5: Solve for x
    x = 382,072,334,400/289,806
  6. Step 6: Final answer
    x = 1,318,372.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.