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Finding the Third Proportional to 269,213 and 415,052

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Solution

The third proportional to 269,213 and 415,052 is: 639,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,213 : 415,052 = 415,052 : x
  2. Step 2: Convert to fraction form
    269,213/415,052 = 415,052/x
  3. Step 3: Cross multiply
    269,213x = 415,052 × 415,052
  4. Step 4: Simplify right side
    269,213x = 172,268,162,704
  5. Step 5: Solve for x
    x = 172,268,162,704/269,213
  6. Step 6: Final answer
    x = 639,895.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.