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Finding the Third Proportional to 269,894 and 404,895

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Solution

The third proportional to 269,894 and 404,895 is: 607,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,894 : 404,895 = 404,895 : x
  2. Step 2: Convert to fraction form
    269,894/404,895 = 404,895/x
  3. Step 3: Cross multiply
    269,894x = 404,895 × 404,895
  4. Step 4: Simplify right side
    269,894x = 163,939,961,025
  5. Step 5: Solve for x
    x = 163,939,961,025/269,894
  6. Step 6: Final answer
    x = 607,423.51

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