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Finding the Third Proportional to 310,328 and 474,516

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Solution

The third proportional to 310,328 and 474,516 is: 725,572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,328 : 474,516 = 474,516 : x
  2. Step 2: Convert to fraction form
    310,328/474,516 = 474,516/x
  3. Step 3: Cross multiply
    310,328x = 474,516 × 474,516
  4. Step 4: Simplify right side
    310,328x = 225,165,434,256
  5. Step 5: Solve for x
    x = 225,165,434,256/310,328
  6. Step 6: Final answer
    x = 725,572.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.