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Finding the Third Proportional to 388,944 and 496,944

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Solution

The third proportional to 388,944 and 496,944 is: 634,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,944 : 496,944 = 496,944 : x
  2. Step 2: Convert to fraction form
    388,944/496,944 = 496,944/x
  3. Step 3: Cross multiply
    388,944x = 496,944 × 496,944
  4. Step 4: Simplify right side
    388,944x = 246,953,339,136
  5. Step 5: Solve for x
    x = 246,953,339,136/388,944
  6. Step 6: Final answer
    x = 634,932.89

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.