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Finding the Third Proportional to 453,832 and 602,013

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Solution

The third proportional to 453,832 and 602,013 is: 798,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,832 : 602,013 = 602,013 : x
  2. Step 2: Convert to fraction form
    453,832/602,013 = 602,013/x
  3. Step 3: Cross multiply
    453,832x = 602,013 × 602,013
  4. Step 4: Simplify right side
    453,832x = 362,419,652,169
  5. Step 5: Solve for x
    x = 362,419,652,169/453,832
  6. Step 6: Final answer
    x = 798,576.68

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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.