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Finding the Third Proportional to 224,698 and 480,068

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Solution

The third proportional to 224,698 and 480,068 is: 1,025,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,698 : 480,068 = 480,068 : x
  2. Step 2: Convert to fraction form
    224,698/480,068 = 480,068/x
  3. Step 3: Cross multiply
    224,698x = 480,068 × 480,068
  4. Step 4: Simplify right side
    224,698x = 230,465,284,624
  5. Step 5: Solve for x
    x = 230,465,284,624/224,698
  6. Step 6: Final answer
    x = 1,025,666.83

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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.