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Finding the Third Proportional to 252,096 and 546,576

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Solution

The third proportional to 252,096 and 546,576 is: 1,185,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,096 : 546,576 = 546,576 : x
  2. Step 2: Convert to fraction form
    252,096/546,576 = 546,576/x
  3. Step 3: Cross multiply
    252,096x = 546,576 × 546,576
  4. Step 4: Simplify right side
    252,096x = 298,745,323,776
  5. Step 5: Solve for x
    x = 298,745,323,776/252,096
  6. Step 6: Final answer
    x = 1,185,045.87

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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.