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Finding the Third Proportional to 362,920 and 741,392

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Solution

The third proportional to 362,920 and 741,392 is: 1,514,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,920 : 741,392 = 741,392 : x
  2. Step 2: Convert to fraction form
    362,920/741,392 = 741,392/x
  3. Step 3: Cross multiply
    362,920x = 741,392 × 741,392
  4. Step 4: Simplify right side
    362,920x = 549,662,097,664
  5. Step 5: Solve for x
    x = 549,662,097,664/362,920
  6. Step 6: Final answer
    x = 1,514,554.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.