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Finding the Third Proportional to 252,893 and 552,123

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Solution

The third proportional to 252,893 and 552,123 is: 1,205,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,893 : 552,123 = 552,123 : x
  2. Step 2: Convert to fraction form
    252,893/552,123 = 552,123/x
  3. Step 3: Cross multiply
    252,893x = 552,123 × 552,123
  4. Step 4: Simplify right side
    252,893x = 304,839,807,129
  5. Step 5: Solve for x
    x = 304,839,807,129/252,893
  6. Step 6: Final answer
    x = 1,205,410.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.