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Finding the Third Proportional to 361,968 and 552,312

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Solution

The third proportional to 361,968 and 552,312 is: 842,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,968 : 552,312 = 552,312 : x
  2. Step 2: Convert to fraction form
    361,968/552,312 = 552,312/x
  3. Step 3: Cross multiply
    361,968x = 552,312 × 552,312
  4. Step 4: Simplify right side
    361,968x = 305,048,545,344
  5. Step 5: Solve for x
    x = 305,048,545,344/361,968
  6. Step 6: Final answer
    x = 842,750.04

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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.