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Finding the Third Proportional to 393,016 and 842,063

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Solution

The third proportional to 393,016 and 842,063 is: 1,804,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,016 : 842,063 = 842,063 : x
  2. Step 2: Convert to fraction form
    393,016/842,063 = 842,063/x
  3. Step 3: Cross multiply
    393,016x = 842,063 × 842,063
  4. Step 4: Simplify right side
    393,016x = 709,070,095,969
  5. Step 5: Solve for x
    x = 709,070,095,969/393,016
  6. Step 6: Final answer
    x = 1,804,176.16

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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.