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Finding the Third Proportional to 224,672 and 455,824

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Solution

The third proportional to 224,672 and 455,824 is: 924,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,672 : 455,824 = 455,824 : x
  2. Step 2: Convert to fraction form
    224,672/455,824 = 455,824/x
  3. Step 3: Cross multiply
    224,672x = 455,824 × 455,824
  4. Step 4: Simplify right side
    224,672x = 207,775,518,976
  5. Step 5: Solve for x
    x = 207,775,518,976/224,672
  6. Step 6: Final answer
    x = 924,794.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.