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Finding the Third Proportional to 223,670 and 480,706

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Solution

The third proportional to 223,670 and 480,706 is: 1,033,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,670 : 480,706 = 480,706 : x
  2. Step 2: Convert to fraction form
    223,670/480,706 = 480,706/x
  3. Step 3: Cross multiply
    223,670x = 480,706 × 480,706
  4. Step 4: Simplify right side
    223,670x = 231,078,258,436
  5. Step 5: Solve for x
    x = 231,078,258,436/223,670
  6. Step 6: Final answer
    x = 1,033,121.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.