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Finding the Third Proportional to 361,896 and 790,842

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Solution

The third proportional to 361,896 and 790,842 is: 1,728,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,896 : 790,842 = 790,842 : x
  2. Step 2: Convert to fraction form
    361,896/790,842 = 790,842/x
  3. Step 3: Cross multiply
    361,896x = 790,842 × 790,842
  4. Step 4: Simplify right side
    361,896x = 625,431,068,964
  5. Step 5: Solve for x
    x = 625,431,068,964/361,896
  6. Step 6: Final answer
    x = 1,728,206.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.