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Finding the Third Proportional to 201,618 and 427,104

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Solution

The third proportional to 201,618 and 427,104 is: 904,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,618 : 427,104 = 427,104 : x
  2. Step 2: Convert to fraction form
    201,618/427,104 = 427,104/x
  3. Step 3: Cross multiply
    201,618x = 427,104 × 427,104
  4. Step 4: Simplify right side
    201,618x = 182,417,826,816
  5. Step 5: Solve for x
    x = 182,417,826,816/201,618
  6. Step 6: Final answer
    x = 904,769.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.