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Finding the Third Proportional to 241,399 and 530,055

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Solution

The third proportional to 241,399 and 530,055 is: 1,163,875.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,399 : 530,055 = 530,055 : x
  2. Step 2: Convert to fraction form
    241,399/530,055 = 530,055/x
  3. Step 3: Cross multiply
    241,399x = 530,055 × 530,055
  4. Step 4: Simplify right side
    241,399x = 280,958,303,025
  5. Step 5: Solve for x
    x = 280,958,303,025/241,399
  6. Step 6: Final answer
    x = 1,163,875.17

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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.