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Finding the Third Proportional to 269,190 and 404,433

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Solution

The third proportional to 269,190 and 404,433 is: 607,623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,190 : 404,433 = 404,433 : x
  2. Step 2: Convert to fraction form
    269,190/404,433 = 404,433/x
  3. Step 3: Cross multiply
    269,190x = 404,433 × 404,433
  4. Step 4: Simplify right side
    269,190x = 163,566,051,489
  5. Step 5: Solve for x
    x = 163,566,051,489/269,190
  6. Step 6: Final answer
    x = 607,623.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.