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Finding the Third Proportional to 251,338 and 531,764

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Solution

The third proportional to 251,338 and 531,764 is: 1,125,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,338 : 531,764 = 531,764 : x
  2. Step 2: Convert to fraction form
    251,338/531,764 = 531,764/x
  3. Step 3: Cross multiply
    251,338x = 531,764 × 531,764
  4. Step 4: Simplify right side
    251,338x = 282,772,951,696
  5. Step 5: Solve for x
    x = 282,772,951,696/251,338
  6. Step 6: Final answer
    x = 1,125,070.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.