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Finding the Third Proportional to 393,048 and 842,164

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Solution

The third proportional to 393,048 and 842,164 is: 1,804,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,048 : 842,164 = 842,164 : x
  2. Step 2: Convert to fraction form
    393,048/842,164 = 842,164/x
  3. Step 3: Cross multiply
    393,048x = 842,164 × 842,164
  4. Step 4: Simplify right side
    393,048x = 709,240,202,896
  5. Step 5: Solve for x
    x = 709,240,202,896/393,048
  6. Step 6: Final answer
    x = 1,804,462.06

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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.