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Finding the Third Proportional to 363,120 and 767,769

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Solution

The third proportional to 363,120 and 767,769 is: 1,623,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,120 : 767,769 = 767,769 : x
  2. Step 2: Convert to fraction form
    363,120/767,769 = 767,769/x
  3. Step 3: Cross multiply
    363,120x = 767,769 × 767,769
  4. Step 4: Simplify right side
    363,120x = 589,469,237,361
  5. Step 5: Solve for x
    x = 589,469,237,361/363,120
  6. Step 6: Final answer
    x = 1,623,345.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.