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Finding the Third Proportional to 323,092 and 474,264

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Solution

The third proportional to 323,092 and 474,264 is: 696,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,092 : 474,264 = 474,264 : x
  2. Step 2: Convert to fraction form
    323,092/474,264 = 474,264/x
  3. Step 3: Cross multiply
    323,092x = 474,264 × 474,264
  4. Step 4: Simplify right side
    323,092x = 224,926,341,696
  5. Step 5: Solve for x
    x = 224,926,341,696/323,092
  6. Step 6: Final answer
    x = 696,168.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.