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Finding the Third Proportional to 233,928 and 362,880

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Solution

The third proportional to 233,928 and 362,880 is: 562,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,928 : 362,880 = 362,880 : x
  2. Step 2: Convert to fraction form
    233,928/362,880 = 362,880/x
  3. Step 3: Cross multiply
    233,928x = 362,880 × 362,880
  4. Step 4: Simplify right side
    233,928x = 131,681,894,400
  5. Step 5: Solve for x
    x = 131,681,894,400/233,928
  6. Step 6: Final answer
    x = 562,916.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.