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Finding the Third Proportional to 444,344 and 688,227

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Solution

The third proportional to 444,344 and 688,227 is: 1,065,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,344 : 688,227 = 688,227 : x
  2. Step 2: Convert to fraction form
    444,344/688,227 = 688,227/x
  3. Step 3: Cross multiply
    444,344x = 688,227 × 688,227
  4. Step 4: Simplify right side
    444,344x = 473,656,403,529
  5. Step 5: Solve for x
    x = 473,656,403,529/444,344
  6. Step 6: Final answer
    x = 1,065,967.82

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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.