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Finding the Third Proportional to 236,571 and 542,947

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Solution

The third proportional to 236,571 and 542,947 is: 1,246,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,571 : 542,947 = 542,947 : x
  2. Step 2: Convert to fraction form
    236,571/542,947 = 542,947/x
  3. Step 3: Cross multiply
    236,571x = 542,947 × 542,947
  4. Step 4: Simplify right side
    236,571x = 294,791,444,809
  5. Step 5: Solve for x
    x = 294,791,444,809/236,571
  6. Step 6: Final answer
    x = 1,246,101.36

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.