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Finding the Third Proportional to 269,592 and 417,522

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Solution

The third proportional to 269,592 and 417,522 is: 646,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,592 : 417,522 = 417,522 : x
  2. Step 2: Convert to fraction form
    269,592/417,522 = 417,522/x
  3. Step 3: Cross multiply
    269,592x = 417,522 × 417,522
  4. Step 4: Simplify right side
    269,592x = 174,324,620,484
  5. Step 5: Solve for x
    x = 174,324,620,484/269,592
  6. Step 6: Final answer
    x = 646,623.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.