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Finding the Third Proportional to 252,747 and 545,985

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Solution

The third proportional to 252,747 and 545,985 is: 1,179,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,747 : 545,985 = 545,985 : x
  2. Step 2: Convert to fraction form
    252,747/545,985 = 545,985/x
  3. Step 3: Cross multiply
    252,747x = 545,985 × 545,985
  4. Step 4: Simplify right side
    252,747x = 298,099,620,225
  5. Step 5: Solve for x
    x = 298,099,620,225/252,747
  6. Step 6: Final answer
    x = 1,179,438.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.