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Finding the Third Proportional to 410,416 and 616,812

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Solution

The third proportional to 410,416 and 616,812 is: 927,003.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,416 : 616,812 = 616,812 : x
  2. Step 2: Convert to fraction form
    410,416/616,812 = 616,812/x
  3. Step 3: Cross multiply
    410,416x = 616,812 × 616,812
  4. Step 4: Simplify right side
    410,416x = 380,457,043,344
  5. Step 5: Solve for x
    x = 380,457,043,344/410,416
  6. Step 6: Final answer
    x = 927,003.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.