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Finding the Third Proportional to 362,748 and 777,912

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Solution

The third proportional to 362,748 and 777,912 is: 1,668,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,748 : 777,912 = 777,912 : x
  2. Step 2: Convert to fraction form
    362,748/777,912 = 777,912/x
  3. Step 3: Cross multiply
    362,748x = 777,912 × 777,912
  4. Step 4: Simplify right side
    362,748x = 605,147,079,744
  5. Step 5: Solve for x
    x = 605,147,079,744/362,748
  6. Step 6: Final answer
    x = 1,668,229.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.