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Finding the Third Proportional to 444,101.06 and 688,910.06

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Solution

The third proportional to 444,101.06 and 688,910.06 is: 1,068,669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,101.06 : 688,910.06 = 688,910.06 : x
  2. Step 2: Convert to fraction form
    444,101.06/688,910.06 = 688,910.06/x
  3. Step 3: Cross multiply
    444,101.06x = 688,910.06 × 688,910.06
  4. Step 4: Simplify right side
    444,101.06x = 474,597,074,213.75
  5. Step 5: Solve for x
    x = 474,597,074,213.75/444,101.06
  6. Step 6: Final answer
    x = 1,068,669.08

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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.