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Finding the Third Proportional to 318,384 and 496,944

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Solution

The third proportional to 318,384 and 496,944 is: 775,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,384 : 496,944 = 496,944 : x
  2. Step 2: Convert to fraction form
    318,384/496,944 = 496,944/x
  3. Step 3: Cross multiply
    318,384x = 496,944 × 496,944
  4. Step 4: Simplify right side
    318,384x = 246,953,339,136
  5. Step 5: Solve for x
    x = 246,953,339,136/318,384
  6. Step 6: Final answer
    x = 775,646.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.