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Finding the Third Proportional to 362,889 and 727,236

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Solution

The third proportional to 362,889 and 727,236 is: 1,457,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,889 : 727,236 = 727,236 : x
  2. Step 2: Convert to fraction form
    362,889/727,236 = 727,236/x
  3. Step 3: Cross multiply
    362,889x = 727,236 × 727,236
  4. Step 4: Simplify right side
    362,889x = 528,872,199,696
  5. Step 5: Solve for x
    x = 528,872,199,696/362,889
  6. Step 6: Final answer
    x = 1,457,393.86

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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.