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Finding the Third Proportional to 201,827 and 456,087

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Solution

The third proportional to 201,827 and 456,087 is: 1,030,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,827 : 456,087 = 456,087 : x
  2. Step 2: Convert to fraction form
    201,827/456,087 = 456,087/x
  3. Step 3: Cross multiply
    201,827x = 456,087 × 456,087
  4. Step 4: Simplify right side
    201,827x = 208,015,351,569
  5. Step 5: Solve for x
    x = 208,015,351,569/201,827
  6. Step 6: Final answer
    x = 1,030,661.66

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.