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Finding the Third Proportional to 360,856 and 783,192

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Solution

The third proportional to 360,856 and 783,192 is: 1,699,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,856 : 783,192 = 783,192 : x
  2. Step 2: Convert to fraction form
    360,856/783,192 = 783,192/x
  3. Step 3: Cross multiply
    360,856x = 783,192 × 783,192
  4. Step 4: Simplify right side
    360,856x = 613,389,708,864
  5. Step 5: Solve for x
    x = 613,389,708,864/360,856
  6. Step 6: Final answer
    x = 1,699,818.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.