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Finding the Third Proportional to 372,096 and 594,048

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Solution

The third proportional to 372,096 and 594,048 is: 948,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,096 : 594,048 = 594,048 : x
  2. Step 2: Convert to fraction form
    372,096/594,048 = 594,048/x
  3. Step 3: Cross multiply
    372,096x = 594,048 × 594,048
  4. Step 4: Simplify right side
    372,096x = 352,893,026,304
  5. Step 5: Solve for x
    x = 352,893,026,304/372,096
  6. Step 6: Final answer
    x = 948,392.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.