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Finding the Third Proportional to 282,963.38 and 606,416.63

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Solution

The third proportional to 282,963.38 and 606,416.63 is: 1,299,606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,963.38 : 606,416.63 = 606,416.63 : x
  2. Step 2: Convert to fraction form
    282,963.38/606,416.63 = 606,416.63/x
  3. Step 3: Cross multiply
    282,963.38x = 606,416.63 × 606,416.63
  4. Step 4: Simplify right side
    282,963.38x = 367,741,123,076.39
  5. Step 5: Solve for x
    x = 367,741,123,076.39/282,963.38
  6. Step 6: Final answer
    x = 1,299,606.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.