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Finding the Third Proportional to 252,684 and 547,383.38

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Solution

The third proportional to 252,684 and 547,383.38 is: 1,185,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,684 : 547,383.38 = 547,383.38 : x
  2. Step 2: Convert to fraction form
    252,684/547,383.38 = 547,383.38/x
  3. Step 3: Cross multiply
    252,684x = 547,383.38 × 547,383.38
  4. Step 4: Simplify right side
    252,684x = 299,628,559,226.39
  5. Step 5: Solve for x
    x = 299,628,559,226.39/252,684
  6. Step 6: Final answer
    x = 1,185,783.66

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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.