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Finding the Third Proportional to 274,416 and 601,302

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Solution

The third proportional to 274,416 and 601,302 is: 1,317,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,416 : 601,302 = 601,302 : x
  2. Step 2: Convert to fraction form
    274,416/601,302 = 601,302/x
  3. Step 3: Cross multiply
    274,416x = 601,302 × 601,302
  4. Step 4: Simplify right side
    274,416x = 361,564,095,204
  5. Step 5: Solve for x
    x = 361,564,095,204/274,416
  6. Step 6: Final answer
    x = 1,317,576.58

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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.