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Finding the Third Proportional to 362,740 and 777,896

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Solution

The third proportional to 362,740 and 777,896 is: 1,668,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,740 : 777,896 = 777,896 : x
  2. Step 2: Convert to fraction form
    362,740/777,896 = 777,896/x
  3. Step 3: Cross multiply
    362,740x = 777,896 × 777,896
  4. Step 4: Simplify right side
    362,740x = 605,122,186,816
  5. Step 5: Solve for x
    x = 605,122,186,816/362,740
  6. Step 6: Final answer
    x = 1,668,198.12

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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.