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Finding the Third Proportional to 362,880 and 544,680

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Solution

The third proportional to 362,880 and 544,680 is: 817,560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,880 : 544,680 = 544,680 : x
  2. Step 2: Convert to fraction form
    362,880/544,680 = 544,680/x
  3. Step 3: Cross multiply
    362,880x = 544,680 × 544,680
  4. Step 4: Simplify right side
    362,880x = 296,676,302,400
  5. Step 5: Solve for x
    x = 296,676,302,400/362,880
  6. Step 6: Final answer
    x = 817,560.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.