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Finding the Third Proportional to 307,662 and 465,738

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Solution

The third proportional to 307,662 and 465,738 is: 705,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,662 : 465,738 = 465,738 : x
  2. Step 2: Convert to fraction form
    307,662/465,738 = 465,738/x
  3. Step 3: Cross multiply
    307,662x = 465,738 × 465,738
  4. Step 4: Simplify right side
    307,662x = 216,911,884,644
  5. Step 5: Solve for x
    x = 216,911,884,644/307,662
  6. Step 6: Final answer
    x = 705,033.07

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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.