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Finding the Third Proportional to 378,624 and 593,664

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Solution

The third proportional to 378,624 and 593,664 is: 930,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,624 : 593,664 = 593,664 : x
  2. Step 2: Convert to fraction form
    378,624/593,664 = 593,664/x
  3. Step 3: Cross multiply
    378,624x = 593,664 × 593,664
  4. Step 4: Simplify right side
    378,624x = 352,436,944,896
  5. Step 5: Solve for x
    x = 352,436,944,896/378,624
  6. Step 6: Final answer
    x = 930,836.25

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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.