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Finding the Third Proportional to 367,262 and 778,615

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Solution

The third proportional to 367,262 and 778,615 is: 1,650,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,262 : 778,615 = 778,615 : x
  2. Step 2: Convert to fraction form
    367,262/778,615 = 778,615/x
  3. Step 3: Cross multiply
    367,262x = 778,615 × 778,615
  4. Step 4: Simplify right side
    367,262x = 606,241,318,225
  5. Step 5: Solve for x
    x = 606,241,318,225/367,262
  6. Step 6: Final answer
    x = 1,650,705.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.