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Finding the Third Proportional to 602,766 and 826,512

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Solution

The third proportional to 602,766 and 826,512 is: 1,133,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,766 : 826,512 = 826,512 : x
  2. Step 2: Convert to fraction form
    602,766/826,512 = 826,512/x
  3. Step 3: Cross multiply
    602,766x = 826,512 × 826,512
  4. Step 4: Simplify right side
    602,766x = 683,122,086,144
  5. Step 5: Solve for x
    x = 683,122,086,144/602,766
  6. Step 6: Final answer
    x = 1,133,312.24

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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.