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Finding the Third Proportional to 602,570 and 799,692

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Solution

The third proportional to 602,570 and 799,692 is: 1,061,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,570 : 799,692 = 799,692 : x
  2. Step 2: Convert to fraction form
    602,570/799,692 = 799,692/x
  3. Step 3: Cross multiply
    602,570x = 799,692 × 799,692
  4. Step 4: Simplify right side
    602,570x = 639,507,294,864
  5. Step 5: Solve for x
    x = 639,507,294,864/602,570
  6. Step 6: Final answer
    x = 1,061,299.59

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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.