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Finding the Third Proportional to 224,376 and 480,720

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Solution

The third proportional to 224,376 and 480,720 is: 1,029,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,376 : 480,720 = 480,720 : x
  2. Step 2: Convert to fraction form
    224,376/480,720 = 480,720/x
  3. Step 3: Cross multiply
    224,376x = 480,720 × 480,720
  4. Step 4: Simplify right side
    224,376x = 231,091,718,400
  5. Step 5: Solve for x
    x = 231,091,718,400/224,376
  6. Step 6: Final answer
    x = 1,029,930.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.