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Finding the Third Proportional to 274,402 and 601,274

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Solution

The third proportional to 274,402 and 601,274 is: 1,317,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,402 : 601,274 = 601,274 : x
  2. Step 2: Convert to fraction form
    274,402/601,274 = 601,274/x
  3. Step 3: Cross multiply
    274,402x = 601,274 × 601,274
  4. Step 4: Simplify right side
    274,402x = 361,530,423,076
  5. Step 5: Solve for x
    x = 361,530,423,076/274,402
  6. Step 6: Final answer
    x = 1,317,521.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.