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Finding the Third Proportional to 241,329 and 530,241

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Solution

The third proportional to 241,329 and 530,241 is: 1,165,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,329 : 530,241 = 530,241 : x
  2. Step 2: Convert to fraction form
    241,329/530,241 = 530,241/x
  3. Step 3: Cross multiply
    241,329x = 530,241 × 530,241
  4. Step 4: Simplify right side
    241,329x = 281,155,518,081
  5. Step 5: Solve for x
    x = 281,155,518,081/241,329
  6. Step 6: Final answer
    x = 1,165,029.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.