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Finding the Third Proportional to 360,936 and 413,424

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Solution

The third proportional to 360,936 and 413,424 is: 473,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,936 : 413,424 = 413,424 : x
  2. Step 2: Convert to fraction form
    360,936/413,424 = 413,424/x
  3. Step 3: Cross multiply
    360,936x = 413,424 × 413,424
  4. Step 4: Simplify right side
    360,936x = 170,919,403,776
  5. Step 5: Solve for x
    x = 170,919,403,776/360,936
  6. Step 6: Final answer
    x = 473,544.90

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.