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Finding the Third Proportional to 314,543 and 673,167

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Solution

The third proportional to 314,543 and 673,167 is: 1,440,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,543 : 673,167 = 673,167 : x
  2. Step 2: Convert to fraction form
    314,543/673,167 = 673,167/x
  3. Step 3: Cross multiply
    314,543x = 673,167 × 673,167
  4. Step 4: Simplify right side
    314,543x = 453,153,809,889
  5. Step 5: Solve for x
    x = 453,153,809,889/314,543
  6. Step 6: Final answer
    x = 1,440,673.64

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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.