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Finding the Third Proportional to 479,312 and 733,512

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Solution

The third proportional to 479,312 and 733,512 is: 1,122,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,312 : 733,512 = 733,512 : x
  2. Step 2: Convert to fraction form
    479,312/733,512 = 733,512/x
  3. Step 3: Cross multiply
    479,312x = 733,512 × 733,512
  4. Step 4: Simplify right side
    479,312x = 538,039,854,144
  5. Step 5: Solve for x
    x = 538,039,854,144/479,312
  6. Step 6: Final answer
    x = 1,122,525.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.