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Finding the Third Proportional to 253,674 and 546,592

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Solution

The third proportional to 253,674 and 546,592 is: 1,177,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,674 : 546,592 = 546,592 : x
  2. Step 2: Convert to fraction form
    253,674/546,592 = 546,592/x
  3. Step 3: Cross multiply
    253,674x = 546,592 × 546,592
  4. Step 4: Simplify right side
    253,674x = 298,762,814,464
  5. Step 5: Solve for x
    x = 298,762,814,464/253,674
  6. Step 6: Final answer
    x = 1,177,743.14

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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.