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Finding the Third Proportional to 239,449 and 375,696

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Solution

The third proportional to 239,449 and 375,696 is: 589,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,449 : 375,696 = 375,696 : x
  2. Step 2: Convert to fraction form
    239,449/375,696 = 375,696/x
  3. Step 3: Cross multiply
    239,449x = 375,696 × 375,696
  4. Step 4: Simplify right side
    239,449x = 141,147,484,416
  5. Step 5: Solve for x
    x = 141,147,484,416/239,449
  6. Step 6: Final answer
    x = 589,467.84

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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.