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Finding the Third Proportional to 353,022 and 538,770

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Solution

The third proportional to 353,022 and 538,770 is: 822,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,022 : 538,770 = 538,770 : x
  2. Step 2: Convert to fraction form
    353,022/538,770 = 538,770/x
  3. Step 3: Cross multiply
    353,022x = 538,770 × 538,770
  4. Step 4: Simplify right side
    353,022x = 290,273,112,900
  5. Step 5: Solve for x
    x = 290,273,112,900/353,022
  6. Step 6: Final answer
    x = 822,252.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.