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Finding the Third Proportional to 239,517 and 375,732

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Solution

The third proportional to 239,517 and 375,732 is: 589,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,517 : 375,732 = 375,732 : x
  2. Step 2: Convert to fraction form
    239,517/375,732 = 375,732/x
  3. Step 3: Cross multiply
    239,517x = 375,732 × 375,732
  4. Step 4: Simplify right side
    239,517x = 141,174,535,824
  5. Step 5: Solve for x
    x = 141,174,535,824/239,517
  6. Step 6: Final answer
    x = 589,413.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.