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Finding the Third Proportional to 232,425 and 503,973

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Solution

The third proportional to 232,425 and 503,973 is: 1,092,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,425 : 503,973 = 503,973 : x
  2. Step 2: Convert to fraction form
    232,425/503,973 = 503,973/x
  3. Step 3: Cross multiply
    232,425x = 503,973 × 503,973
  4. Step 4: Simplify right side
    232,425x = 253,988,784,729
  5. Step 5: Solve for x
    x = 253,988,784,729/232,425
  6. Step 6: Final answer
    x = 1,092,777.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.