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Finding the Third Proportional to 234,816 and 522,000

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Solution

The third proportional to 234,816 and 522,000 is: 1,160,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,816 : 522,000 = 522,000 : x
  2. Step 2: Convert to fraction form
    234,816/522,000 = 522,000/x
  3. Step 3: Cross multiply
    234,816x = 522,000 × 522,000
  4. Step 4: Simplify right side
    234,816x = 272,484,000,000
  5. Step 5: Solve for x
    x = 272,484,000,000/234,816
  6. Step 6: Final answer
    x = 1,160,414.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.