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Finding the Third Proportional to 314,546 and 673,174

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Solution

The third proportional to 314,546 and 673,174 is: 1,440,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,546 : 673,174 = 673,174 : x
  2. Step 2: Convert to fraction form
    314,546/673,174 = 673,174/x
  3. Step 3: Cross multiply
    314,546x = 673,174 × 673,174
  4. Step 4: Simplify right side
    314,546x = 453,163,234,276
  5. Step 5: Solve for x
    x = 453,163,234,276/314,546
  6. Step 6: Final answer
    x = 1,440,689.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.