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Finding the Third Proportional to 210,471.38 and 461,687.63

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Solution

The third proportional to 210,471.38 and 461,687.63 is: 1,012,752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,471.38 : 461,687.63 = 461,687.63 : x
  2. Step 2: Convert to fraction form
    210,471.38/461,687.63 = 461,687.63/x
  3. Step 3: Cross multiply
    210,471.38x = 461,687.63 × 461,687.63
  4. Step 4: Simplify right side
    210,471.38x = 213,155,463,078.14
  5. Step 5: Solve for x
    x = 213,155,463,078.14/210,471.38
  6. Step 6: Final answer
    x = 1,012,752.75

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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.