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Finding the Third Proportional to 372,674 and 526,827

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Solution

The third proportional to 372,674 and 526,827 is: 744,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,674 : 526,827 = 526,827 : x
  2. Step 2: Convert to fraction form
    372,674/526,827 = 526,827/x
  3. Step 3: Cross multiply
    372,674x = 526,827 × 526,827
  4. Step 4: Simplify right side
    372,674x = 277,546,687,929
  5. Step 5: Solve for x
    x = 277,546,687,929/372,674
  6. Step 6: Final answer
    x = 744,743.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.