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Finding the Third Proportional to 210,007.69 and 460,839.38

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Solution

The third proportional to 210,007.69 and 460,839.38 is: 1,011,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,007.69 : 460,839.38 = 460,839.38 : x
  2. Step 2: Convert to fraction form
    210,007.69/460,839.38 = 460,839.38/x
  3. Step 3: Cross multiply
    210,007.69x = 460,839.38 × 460,839.38
  4. Step 4: Simplify right side
    210,007.69x = 212,372,929,550.39
  5. Step 5: Solve for x
    x = 212,372,929,550.39/210,007.69
  6. Step 6: Final answer
    x = 1,011,262.65

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