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Finding the Third Proportional to 366,174 and 554,424

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Solution

The third proportional to 366,174 and 554,424 is: 839,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,174 : 554,424 = 554,424 : x
  2. Step 2: Convert to fraction form
    366,174/554,424 = 554,424/x
  3. Step 3: Cross multiply
    366,174x = 554,424 × 554,424
  4. Step 4: Simplify right side
    366,174x = 307,385,971,776
  5. Step 5: Solve for x
    x = 307,385,971,776/366,174
  6. Step 6: Final answer
    x = 839,453.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.