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Finding the Third Proportional to 397,673 and 602,301

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Solution

The third proportional to 397,673 and 602,301 is: 912,223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,673 : 602,301 = 602,301 : x
  2. Step 2: Convert to fraction form
    397,673/602,301 = 602,301/x
  3. Step 3: Cross multiply
    397,673x = 602,301 × 602,301
  4. Step 4: Simplify right side
    397,673x = 362,766,494,601
  5. Step 5: Solve for x
    x = 362,766,494,601/397,673
  6. Step 6: Final answer
    x = 912,223.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.