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Finding the Third Proportional to 402,912 and 593,232

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Solution

The third proportional to 402,912 and 593,232 is: 873,451.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,912 : 593,232 = 593,232 : x
  2. Step 2: Convert to fraction form
    402,912/593,232 = 593,232/x
  3. Step 3: Cross multiply
    402,912x = 593,232 × 593,232
  4. Step 4: Simplify right side
    402,912x = 351,924,205,824
  5. Step 5: Solve for x
    x = 351,924,205,824/402,912
  6. Step 6: Final answer
    x = 873,451.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.