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Finding the Third Proportional to 372,614 and 526,736

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Solution

The third proportional to 372,614 and 526,736 is: 744,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,614 : 526,736 = 526,736 : x
  2. Step 2: Convert to fraction form
    372,614/526,736 = 526,736/x
  3. Step 3: Cross multiply
    372,614x = 526,736 × 526,736
  4. Step 4: Simplify right side
    372,614x = 277,450,813,696
  5. Step 5: Solve for x
    x = 277,450,813,696/372,614
  6. Step 6: Final answer
    x = 744,606.52

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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.