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Finding the Third Proportional to 362,016 and 780,192

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Solution

The third proportional to 362,016 and 780,192 is: 1,681,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,016 : 780,192 = 780,192 : x
  2. Step 2: Convert to fraction form
    362,016/780,192 = 780,192/x
  3. Step 3: Cross multiply
    362,016x = 780,192 × 780,192
  4. Step 4: Simplify right side
    362,016x = 608,699,556,864
  5. Step 5: Solve for x
    x = 608,699,556,864/362,016
  6. Step 6: Final answer
    x = 1,681,416.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.