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Finding the Third Proportional to 187,969 and 413,323

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Solution

The third proportional to 187,969 and 413,323 is: 908,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,969 : 413,323 = 413,323 : x
  2. Step 2: Convert to fraction form
    187,969/413,323 = 413,323/x
  3. Step 3: Cross multiply
    187,969x = 413,323 × 413,323
  4. Step 4: Simplify right side
    187,969x = 170,835,902,329
  5. Step 5: Solve for x
    x = 170,835,902,329/187,969
  6. Step 6: Final answer
    x = 908,851.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.