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Finding the Third Proportional to 244,664 and 378,128

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Solution

The third proportional to 244,664 and 378,128 is: 584,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,664 : 378,128 = 378,128 : x
  2. Step 2: Convert to fraction form
    244,664/378,128 = 378,128/x
  3. Step 3: Cross multiply
    244,664x = 378,128 × 378,128
  4. Step 4: Simplify right side
    244,664x = 142,980,784,384
  5. Step 5: Solve for x
    x = 142,980,784,384/244,664
  6. Step 6: Final answer
    x = 584,396.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.