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Finding the Third Proportional to 253,676 and 546,596

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Solution

The third proportional to 253,676 and 546,596 is: 1,177,751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,676 : 546,596 = 546,596 : x
  2. Step 2: Convert to fraction form
    253,676/546,596 = 546,596/x
  3. Step 3: Cross multiply
    253,676x = 546,596 × 546,596
  4. Step 4: Simplify right side
    253,676x = 298,767,187,216
  5. Step 5: Solve for x
    x = 298,767,187,216/253,676
  6. Step 6: Final answer
    x = 1,177,751.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.