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Finding the Third Proportional to 410,412 and 616,806

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Solution

The third proportional to 410,412 and 616,806 is: 926,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,412 : 616,806 = 616,806 : x
  2. Step 2: Convert to fraction form
    410,412/616,806 = 616,806/x
  3. Step 3: Cross multiply
    410,412x = 616,806 × 616,806
  4. Step 4: Simplify right side
    410,412x = 380,449,641,636
  5. Step 5: Solve for x
    x = 380,449,641,636/410,412
  6. Step 6: Final answer
    x = 926,994.44

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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.