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Finding the Third Proportional to 602,603 and 826,302

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Solution

The third proportional to 602,603 and 826,302 is: 1,133,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,603 : 826,302 = 826,302 : x
  2. Step 2: Convert to fraction form
    602,603/826,302 = 826,302/x
  3. Step 3: Cross multiply
    602,603x = 826,302 × 826,302
  4. Step 4: Simplify right side
    602,603x = 682,774,995,204
  5. Step 5: Solve for x
    x = 682,774,995,204/602,603
  6. Step 6: Final answer
    x = 1,133,042.81

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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.