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Finding the Third Proportional to 232,706 and 355,827

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Solution

The third proportional to 232,706 and 355,827 is: 544,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,706 : 355,827 = 355,827 : x
  2. Step 2: Convert to fraction form
    232,706/355,827 = 355,827/x
  3. Step 3: Cross multiply
    232,706x = 355,827 × 355,827
  4. Step 4: Simplify right side
    232,706x = 126,612,853,929
  5. Step 5: Solve for x
    x = 126,612,853,929/232,706
  6. Step 6: Final answer
    x = 544,089.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.