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Finding the Third Proportional to 252,541 and 554,897

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Solution

The third proportional to 252,541 and 554,897 is: 1,219,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,541 : 554,897 = 554,897 : x
  2. Step 2: Convert to fraction form
    252,541/554,897 = 554,897/x
  3. Step 3: Cross multiply
    252,541x = 554,897 × 554,897
  4. Step 4: Simplify right side
    252,541x = 307,910,680,609
  5. Step 5: Solve for x
    x = 307,910,680,609/252,541
  6. Step 6: Final answer
    x = 1,219,250.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.