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Finding the Third Proportional to 538,232 and 731,288

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Solution

The third proportional to 538,232 and 731,288 is: 993,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,232 : 731,288 = 731,288 : x
  2. Step 2: Convert to fraction form
    538,232/731,288 = 731,288/x
  3. Step 3: Cross multiply
    538,232x = 731,288 × 731,288
  4. Step 4: Simplify right side
    538,232x = 534,782,138,944
  5. Step 5: Solve for x
    x = 534,782,138,944/538,232
  6. Step 6: Final answer
    x = 993,590.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.