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Finding the Third Proportional to 224,792 and 481,656

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Solution

The third proportional to 224,792 and 481,656 is: 1,032,031.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,792 : 481,656 = 481,656 : x
  2. Step 2: Convert to fraction form
    224,792/481,656 = 481,656/x
  3. Step 3: Cross multiply
    224,792x = 481,656 × 481,656
  4. Step 4: Simplify right side
    224,792x = 231,992,502,336
  5. Step 5: Solve for x
    x = 231,992,502,336/224,792
  6. Step 6: Final answer
    x = 1,032,031.84

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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.