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Finding the Third Proportional to 456,614 and 727,204

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Solution

The third proportional to 456,614 and 727,204 is: 1,158,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,614 : 727,204 = 727,204 : x
  2. Step 2: Convert to fraction form
    456,614/727,204 = 727,204/x
  3. Step 3: Cross multiply
    456,614x = 727,204 × 727,204
  4. Step 4: Simplify right side
    456,614x = 528,825,657,616
  5. Step 5: Solve for x
    x = 528,825,657,616/456,614
  6. Step 6: Final answer
    x = 1,158,145.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.