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Finding the Third Proportional to 602,561 and 826,243

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Solution

The third proportional to 602,561 and 826,243 is: 1,132,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,561 : 826,243 = 826,243 : x
  2. Step 2: Convert to fraction form
    602,561/826,243 = 826,243/x
  3. Step 3: Cross multiply
    602,561x = 826,243 × 826,243
  4. Step 4: Simplify right side
    602,561x = 682,677,495,049
  5. Step 5: Solve for x
    x = 682,677,495,049/602,561
  6. Step 6: Final answer
    x = 1,132,959.97

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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.