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Finding the Third Proportional to 303,562 and 666,174

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Solution

The third proportional to 303,562 and 666,174 is: 1,461,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,562 : 666,174 = 666,174 : x
  2. Step 2: Convert to fraction form
    303,562/666,174 = 666,174/x
  3. Step 3: Cross multiply
    303,562x = 666,174 × 666,174
  4. Step 4: Simplify right side
    303,562x = 443,787,798,276
  5. Step 5: Solve for x
    x = 443,787,798,276/303,562
  6. Step 6: Final answer
    x = 1,461,934.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.