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Finding the Third Proportional to 410,400 and 616,788

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Solution

The third proportional to 410,400 and 616,788 is: 926,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,400 : 616,788 = 616,788 : x
  2. Step 2: Convert to fraction form
    410,400/616,788 = 616,788/x
  3. Step 3: Cross multiply
    410,400x = 616,788 × 616,788
  4. Step 4: Simplify right side
    410,400x = 380,427,436,944
  5. Step 5: Solve for x
    x = 380,427,436,944/410,400
  6. Step 6: Final answer
    x = 926,967.44

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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.