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Finding the Third Proportional to 239,484 and 375,678

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Solution

The third proportional to 239,484 and 375,678 is: 589,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,484 : 375,678 = 375,678 : x
  2. Step 2: Convert to fraction form
    239,484/375,678 = 375,678/x
  3. Step 3: Cross multiply
    239,484x = 375,678 × 375,678
  4. Step 4: Simplify right side
    239,484x = 141,133,959,684
  5. Step 5: Solve for x
    x = 141,133,959,684/239,484
  6. Step 6: Final answer
    x = 589,325.21

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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.