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Finding the Third Proportional to 444,864.38 and 689,416.88

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Solution

The third proportional to 444,864.38 and 689,416.88 is: 1,068,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,864.38 : 689,416.88 = 689,416.88 : x
  2. Step 2: Convert to fraction form
    444,864.38/689,416.88 = 689,416.88/x
  3. Step 3: Cross multiply
    444,864.38x = 689,416.88 × 689,416.88
  4. Step 4: Simplify right side
    444,864.38x = 475,295,627,534.77
  5. Step 5: Solve for x
    x = 475,295,627,534.77/444,864.38
  6. Step 6: Final answer
    x = 1,068,405.69

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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.