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Finding the Third Proportional to 436,810 and 658,296

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Solution

The third proportional to 436,810 and 658,296 is: 992,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,810 : 658,296 = 658,296 : x
  2. Step 2: Convert to fraction form
    436,810/658,296 = 658,296/x
  3. Step 3: Cross multiply
    436,810x = 658,296 × 658,296
  4. Step 4: Simplify right side
    436,810x = 433,353,623,616
  5. Step 5: Solve for x
    x = 433,353,623,616/436,810
  6. Step 6: Final answer
    x = 992,087.23

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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.