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Finding the Third Proportional to 361,153 and 777,806

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Solution

The third proportional to 361,153 and 777,806 is: 1,675,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,153 : 777,806 = 777,806 : x
  2. Step 2: Convert to fraction form
    361,153/777,806 = 777,806/x
  3. Step 3: Cross multiply
    361,153x = 777,806 × 777,806
  4. Step 4: Simplify right side
    361,153x = 604,982,173,636
  5. Step 5: Solve for x
    x = 604,982,173,636/361,153
  6. Step 6: Final answer
    x = 1,675,140.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.