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Finding the Third Proportional to 372,608 and 526,728

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Solution

The third proportional to 372,608 and 526,728 is: 744,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,608 : 526,728 = 526,728 : x
  2. Step 2: Convert to fraction form
    372,608/526,728 = 526,728/x
  3. Step 3: Cross multiply
    372,608x = 526,728 × 526,728
  4. Step 4: Simplify right side
    372,608x = 277,442,385,984
  5. Step 5: Solve for x
    x = 277,442,385,984/372,608
  6. Step 6: Final answer
    x = 744,595.89

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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.