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Finding the Third Proportional to 224,300 and 479,704

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Solution

The third proportional to 224,300 and 479,704 is: 1,025,929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,300 : 479,704 = 479,704 : x
  2. Step 2: Convert to fraction form
    224,300/479,704 = 479,704/x
  3. Step 3: Cross multiply
    224,300x = 479,704 × 479,704
  4. Step 4: Simplify right side
    224,300x = 230,115,927,616
  5. Step 5: Solve for x
    x = 230,115,927,616/224,300
  6. Step 6: Final answer
    x = 1,025,929.24

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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.