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Finding the Third Proportional to 290,814 and 616,782

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Solution

The third proportional to 290,814 and 616,782 is: 1,308,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,814 : 616,782 = 616,782 : x
  2. Step 2: Convert to fraction form
    290,814/616,782 = 616,782/x
  3. Step 3: Cross multiply
    290,814x = 616,782 × 616,782
  4. Step 4: Simplify right side
    290,814x = 380,420,035,524
  5. Step 5: Solve for x
    x = 380,420,035,524/290,814
  6. Step 6: Final answer
    x = 1,308,121.46

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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.