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Finding the Third Proportional to 365,592 and 777,744

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Solution

The third proportional to 365,592 and 777,744 is: 1,654,537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,592 : 777,744 = 777,744 : x
  2. Step 2: Convert to fraction form
    365,592/777,744 = 777,744/x
  3. Step 3: Cross multiply
    365,592x = 777,744 × 777,744
  4. Step 4: Simplify right side
    365,592x = 604,885,729,536
  5. Step 5: Solve for x
    x = 604,885,729,536/365,592
  6. Step 6: Final answer
    x = 1,654,537.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.