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Finding the Third Proportional to 307,666 and 465,744

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Solution

The third proportional to 307,666 and 465,744 is: 705,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,666 : 465,744 = 465,744 : x
  2. Step 2: Convert to fraction form
    307,666/465,744 = 465,744/x
  3. Step 3: Cross multiply
    307,666x = 465,744 × 465,744
  4. Step 4: Simplify right side
    307,666x = 216,917,473,536
  5. Step 5: Solve for x
    x = 216,917,473,536/307,666
  6. Step 6: Final answer
    x = 705,042.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.