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Finding the Third Proportional to 254,898 and 554,130

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Solution

The third proportional to 254,898 and 554,130 is: 1,204,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,898 : 554,130 = 554,130 : x
  2. Step 2: Convert to fraction form
    254,898/554,130 = 554,130/x
  3. Step 3: Cross multiply
    254,898x = 554,130 × 554,130
  4. Step 4: Simplify right side
    254,898x = 307,060,056,900
  5. Step 5: Solve for x
    x = 307,060,056,900/254,898
  6. Step 6: Final answer
    x = 1,204,638.94

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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.