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Finding the Third Proportional to 602,568 and 799,689

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Solution

The third proportional to 602,568 and 799,689 is: 1,061,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,568 : 799,689 = 799,689 : x
  2. Step 2: Convert to fraction form
    602,568/799,689 = 799,689/x
  3. Step 3: Cross multiply
    602,568x = 799,689 × 799,689
  4. Step 4: Simplify right side
    602,568x = 639,502,496,721
  5. Step 5: Solve for x
    x = 639,502,496,721/602,568
  6. Step 6: Final answer
    x = 1,061,295.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.