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Finding the Third Proportional to 439,850 and 727,896

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Solution

The third proportional to 439,850 and 727,896 is: 1,204,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,850 : 727,896 = 727,896 : x
  2. Step 2: Convert to fraction form
    439,850/727,896 = 727,896/x
  3. Step 3: Cross multiply
    439,850x = 727,896 × 727,896
  4. Step 4: Simplify right side
    439,850x = 529,832,586,816
  5. Step 5: Solve for x
    x = 529,832,586,816/439,850
  6. Step 6: Final answer
    x = 1,204,575.62

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.