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Finding the Third Proportional to 444,864 and 689,415.75

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Solution

The third proportional to 444,864 and 689,415.75 is: 1,068,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,864 : 689,415.75 = 689,415.75 : x
  2. Step 2: Convert to fraction form
    444,864/689,415.75 = 689,415.75/x
  3. Step 3: Cross multiply
    444,864x = 689,415.75 × 689,415.75
  4. Step 4: Simplify right side
    444,864x = 475,294,076,348.06
  5. Step 5: Solve for x
    x = 475,294,076,348.06/444,864
  6. Step 6: Final answer
    x = 1,068,403.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.