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Finding the Third Proportional to 366,984 and 567,174

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Solution

The third proportional to 366,984 and 567,174 is: 876,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,984 : 567,174 = 567,174 : x
  2. Step 2: Convert to fraction form
    366,984/567,174 = 567,174/x
  3. Step 3: Cross multiply
    366,984x = 567,174 × 567,174
  4. Step 4: Simplify right side
    366,984x = 321,686,346,276
  5. Step 5: Solve for x
    x = 321,686,346,276/366,984
  6. Step 6: Final answer
    x = 876,567.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.