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Finding the Third Proportional to 307,207.69 and 673,459.31

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Solution

The third proportional to 307,207.69 and 673,459.31 is: 1,476,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,207.69 : 673,459.31 = 673,459.31 : x
  2. Step 2: Convert to fraction form
    307,207.69/673,459.31 = 673,459.31/x
  3. Step 3: Cross multiply
    307,207.69x = 673,459.31 × 673,459.31
  4. Step 4: Simplify right side
    307,207.69x = 453,547,445,592.97
  5. Step 5: Solve for x
    x = 453,547,445,592.97/307,207.69
  6. Step 6: Final answer
    x = 1,476,354.48

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