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Finding the Third Proportional to 360,864 and 783,208

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Solution

The third proportional to 360,864 and 783,208 is: 1,699,850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,864 : 783,208 = 783,208 : x
  2. Step 2: Convert to fraction form
    360,864/783,208 = 783,208/x
  3. Step 3: Cross multiply
    360,864x = 783,208 × 783,208
  4. Step 4: Simplify right side
    360,864x = 613,414,771,264
  5. Step 5: Solve for x
    x = 613,414,771,264/360,864
  6. Step 6: Final answer
    x = 1,699,850.28

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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.