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Finding the Third Proportional to 308,481 and 460,176

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Solution

The third proportional to 308,481 and 460,176 is: 686,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,481 : 460,176 = 460,176 : x
  2. Step 2: Convert to fraction form
    308,481/460,176 = 460,176/x
  3. Step 3: Cross multiply
    308,481x = 460,176 × 460,176
  4. Step 4: Simplify right side
    308,481x = 211,761,950,976
  5. Step 5: Solve for x
    x = 211,761,950,976/308,481
  6. Step 6: Final answer
    x = 686,466.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.