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Finding the Third Proportional to 232,674 and 355,778

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Solution

The third proportional to 232,674 and 355,778 is: 544,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,674 : 355,778 = 355,778 : x
  2. Step 2: Convert to fraction form
    232,674/355,778 = 355,778/x
  3. Step 3: Cross multiply
    232,674x = 355,778 × 355,778
  4. Step 4: Simplify right side
    232,674x = 126,577,985,284
  5. Step 5: Solve for x
    x = 126,577,985,284/232,674
  6. Step 6: Final answer
    x = 544,014.31

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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.