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Finding the Third Proportional to 200,740 and 436,472

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Solution

The third proportional to 200,740 and 436,472 is: 949,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,740 : 436,472 = 436,472 : x
  2. Step 2: Convert to fraction form
    200,740/436,472 = 436,472/x
  3. Step 3: Cross multiply
    200,740x = 436,472 × 436,472
  4. Step 4: Simplify right side
    200,740x = 190,507,806,784
  5. Step 5: Solve for x
    x = 190,507,806,784/200,740
  6. Step 6: Final answer
    x = 949,027.63

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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.