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Finding the Third Proportional to 308,334 and 625,174

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Solution

The third proportional to 308,334 and 625,174 is: 1,267,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,334 : 625,174 = 625,174 : x
  2. Step 2: Convert to fraction form
    308,334/625,174 = 625,174/x
  3. Step 3: Cross multiply
    308,334x = 625,174 × 625,174
  4. Step 4: Simplify right side
    308,334x = 390,842,530,276
  5. Step 5: Solve for x
    x = 390,842,530,276/308,334
  6. Step 6: Final answer
    x = 1,267,594.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.