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Finding the Third Proportional to 290,765 and 616,744

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Solution

The third proportional to 290,765 and 616,744 is: 1,308,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,765 : 616,744 = 616,744 : x
  2. Step 2: Convert to fraction form
    290,765/616,744 = 616,744/x
  3. Step 3: Cross multiply
    290,765x = 616,744 × 616,744
  4. Step 4: Simplify right side
    290,765x = 380,373,161,536
  5. Step 5: Solve for x
    x = 380,373,161,536/290,765
  6. Step 6: Final answer
    x = 1,308,180.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.