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Finding the Third Proportional to 410,418 and 616,815

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Solution

The third proportional to 410,418 and 616,815 is: 927,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,418 : 616,815 = 616,815 : x
  2. Step 2: Convert to fraction form
    410,418/616,815 = 616,815/x
  3. Step 3: Cross multiply
    410,418x = 616,815 × 616,815
  4. Step 4: Simplify right side
    410,418x = 380,460,744,225
  5. Step 5: Solve for x
    x = 380,460,744,225/410,418
  6. Step 6: Final answer
    x = 927,007.94

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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.