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Finding the Third Proportional to 269,164 and 417,948

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Solution

The third proportional to 269,164 and 417,948 is: 648,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,164 : 417,948 = 417,948 : x
  2. Step 2: Convert to fraction form
    269,164/417,948 = 417,948/x
  3. Step 3: Cross multiply
    269,164x = 417,948 × 417,948
  4. Step 4: Simplify right side
    269,164x = 174,680,530,704
  5. Step 5: Solve for x
    x = 174,680,530,704/269,164
  6. Step 6: Final answer
    x = 648,974.35

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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.