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Finding the Third Proportional to 372,676 and 526,830

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Solution

The third proportional to 372,676 and 526,830 is: 744,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,676 : 526,830 = 526,830 : x
  2. Step 2: Convert to fraction form
    372,676/526,830 = 526,830/x
  3. Step 3: Cross multiply
    372,676x = 526,830 × 526,830
  4. Step 4: Simplify right side
    372,676x = 277,549,848,900
  5. Step 5: Solve for x
    x = 277,549,848,900/372,676
  6. Step 6: Final answer
    x = 744,748.38

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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.