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Finding the Third Proportional to 602,936 and 959,758

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Solution

The third proportional to 602,936 and 959,758 is: 1,527,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,936 : 959,758 = 959,758 : x
  2. Step 2: Convert to fraction form
    602,936/959,758 = 959,758/x
  3. Step 3: Cross multiply
    602,936x = 959,758 × 959,758
  4. Step 4: Simplify right side
    602,936x = 921,135,418,564
  5. Step 5: Solve for x
    x = 921,135,418,564/602,936
  6. Step 6: Final answer
    x = 1,527,749.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.