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Finding the Third Proportional to 328,096 and 506,684

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Solution

The third proportional to 328,096 and 506,684 is: 782,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,096 : 506,684 = 506,684 : x
  2. Step 2: Convert to fraction form
    328,096/506,684 = 506,684/x
  3. Step 3: Cross multiply
    328,096x = 506,684 × 506,684
  4. Step 4: Simplify right side
    328,096x = 256,728,675,856
  5. Step 5: Solve for x
    x = 256,728,675,856/328,096
  6. Step 6: Final answer
    x = 782,480.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.