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Finding the Third Proportional to 254,174 and 552,613

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Solution

The third proportional to 254,174 and 552,613 is: 1,201,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,174 : 552,613 = 552,613 : x
  2. Step 2: Convert to fraction form
    254,174/552,613 = 552,613/x
  3. Step 3: Cross multiply
    254,174x = 552,613 × 552,613
  4. Step 4: Simplify right side
    254,174x = 305,381,127,769
  5. Step 5: Solve for x
    x = 305,381,127,769/254,174
  6. Step 6: Final answer
    x = 1,201,464.85

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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.