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Finding the Third Proportional to 230,816 and 520,904

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Solution

The third proportional to 230,816 and 520,904 is: 1,175,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,816 : 520,904 = 520,904 : x
  2. Step 2: Convert to fraction form
    230,816/520,904 = 520,904/x
  3. Step 3: Cross multiply
    230,816x = 520,904 × 520,904
  4. Step 4: Simplify right side
    230,816x = 271,340,977,216
  5. Step 5: Solve for x
    x = 271,340,977,216/230,816
  6. Step 6: Final answer
    x = 1,175,572.65

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.