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Finding the Third Proportional to 602,604 and 826,311

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Solution

The third proportional to 602,604 and 826,311 is: 1,133,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,604 : 826,311 = 826,311 : x
  2. Step 2: Convert to fraction form
    602,604/826,311 = 826,311/x
  3. Step 3: Cross multiply
    602,604x = 826,311 × 826,311
  4. Step 4: Simplify right side
    602,604x = 682,789,868,721
  5. Step 5: Solve for x
    x = 682,789,868,721/602,604
  6. Step 6: Final answer
    x = 1,133,065.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.