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Finding the Third Proportional to 465,004 and 658,161

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Solution

The third proportional to 465,004 and 658,161 is: 931,553.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,004 : 658,161 = 658,161 : x
  2. Step 2: Convert to fraction form
    465,004/658,161 = 658,161/x
  3. Step 3: Cross multiply
    465,004x = 658,161 × 658,161
  4. Step 4: Simplify right side
    465,004x = 433,175,901,921
  5. Step 5: Solve for x
    x = 433,175,901,921/465,004
  6. Step 6: Final answer
    x = 931,553.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.