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Finding the Third Proportional to 269,223 and 416,814

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Solution

The third proportional to 269,223 and 416,814 is: 645,316.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,223 : 416,814 = 416,814 : x
  2. Step 2: Convert to fraction form
    269,223/416,814 = 416,814/x
  3. Step 3: Cross multiply
    269,223x = 416,814 × 416,814
  4. Step 4: Simplify right side
    269,223x = 173,733,910,596
  5. Step 5: Solve for x
    x = 173,733,910,596/269,223
  6. Step 6: Final answer
    x = 645,316.00

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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.