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Finding the Third Proportional to 362,420 and 771,496

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Solution

The third proportional to 362,420 and 771,496 is: 1,642,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,420 : 771,496 = 771,496 : x
  2. Step 2: Convert to fraction form
    362,420/771,496 = 771,496/x
  3. Step 3: Cross multiply
    362,420x = 771,496 × 771,496
  4. Step 4: Simplify right side
    362,420x = 595,206,078,016
  5. Step 5: Solve for x
    x = 595,206,078,016/362,420
  6. Step 6: Final answer
    x = 1,642,310.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.