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Finding the Third Proportional to 362,896 and 727,252

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Solution

The third proportional to 362,896 and 727,252 is: 1,457,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,896 : 727,252 = 727,252 : x
  2. Step 2: Convert to fraction form
    362,896/727,252 = 727,252/x
  3. Step 3: Cross multiply
    362,896x = 727,252 × 727,252
  4. Step 4: Simplify right side
    362,896x = 528,895,471,504
  5. Step 5: Solve for x
    x = 528,895,471,504/362,896
  6. Step 6: Final answer
    x = 1,457,429.87

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.